770 has 16 divisors (see below), whose sum is σ = 1728. Its totient is φ = 240.

The previous prime is 769. The next prime is 773. The reversal of 770 is 77.

Adding to 770 its sum of digits (14), we get a square (784 = 28^{2}).

770 divided by its sum of digits (14) gives a palindrome (55).

It can be divided in two parts, 7 and 70, that added together give a palindrome (77).

770 = T_{15} + T_{16} + ... +
T_{19}.

770 = 15^{2} + 16^{2} + 17^{2}.

770 is a Gilda number.

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 nialpdrome in base 6, base 10, base 11 and base 12.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65 + ... + 75.

It is an arithmetic number, because the mean of its divisors is an integer number (108).

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

770 is an abundant number, since it is smaller than the sum of its proper divisors (958).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864).

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

770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25.

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

The square root of 770 is about 27.7488738510. The cubic root of 770 is about 9.1656564543.

The spelling of 770 in words is "seven hundred seventy", and thus it is an aban number, an iban number, and an oban number.

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