70700 has 36 divisors (see below), whose sum is σ = 177072. Its totient is φ = 24000.

The previous prime is 70687. The next prime is 70709. The reversal of 70700 is 707.

70700 divided by its sum of digits (14) gives a triangular number (5050 = T_{100}).

Multipling 70700 by its reverse (707), we get a square (49984900 = 7070^{2}).

70700 divided by its reverse (707) gives a square (100 = 10^{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 not an unprimeable number, because it can be changed into a prime (70709) 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, 650 + ... + 750.

2^{70700} is an apocalyptic number.

70700 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 70700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88536).

70700 is an abundant number, since it is smaller than the sum of its proper divisors (106372).

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

70700 is a wasteful number, since it uses less digits than its factorization.

70700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 115 counting only the distinct ones).

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

The square root of 70700 is about 265.8947160062. The cubic root of 70700 is about 41.3497737813.

The spelling of 70700 in words is "seventy thousand, seven hundred", and thus it is an iban number.

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 101 140 175 202 350 404 505 700 707 1010 1414 2020 2525 2828 3535 5050 7070 10100 14140 17675 35350 70700

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