7700 has 36 divisors (see below), whose sum is σ = 20832. Its totient is φ = 2400.

The previous prime is 7699. The next prime is 7703. The reversal of 7700 is 77.

7700 = 4^{2} + 5^{2} + ... + 28^{2}.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a plaindrome in base 12.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 695 + ... + 705.

2^{7700} is an apocalyptic number.

7700 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10416).

7700 is an abundant number, since it is smaller than the sum of its proper divisors (13132).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7700 is a wasteful number, since it uses less digits than its factorization.

7700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 49, while the sum is 14.

The square root of 7700 is about 87.7496438739. The cubic root of 7700 is about 19.7468082221.

Adding to 7700 its reverse (77), we get a palindrome (7777).

Multiplying 7700 by its reverse (77), we get a square (592900 = 770^{2}).

7700 divided by its reverse (77) gives a square (100 = 10^{2}).

It can be divided in two parts, 7 and 700, that multiplied together give a square (4900 = 70^{2}).

The spelling of 7700 in words is "seven thousand, seven hundred", and thus it is an iban number.

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700

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