76700 has 36 divisors (see below), whose sum is σ = 182280. Its totient is φ = 27840.

The previous prime is 76697. The next prime is 76717. The reversal of 76700 is 767.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1271 + ... + 1329.

2⁷⁶⁷⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91140).

76700 is an abundant number, since it is smaller than the sum of its proper divisors (105580).

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

76700 is a wasteful number, since it uses less digits than its factorization.

76700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 20.

The square root of 76700 is about 276.9476484825. The cubic root of 76700 is about 42.4878858207.

Multiplying 76700 by its reverse (767), we get a square (58828900 = 7670²).

76700 divided by its reverse (767) gives a square (100 = 10²).

The spelling of 76700 in words is "seventy-six thousand, seven hundred".