76991600 has 120 divisors (see below), whose sum is σ = 218462208. Its totient is φ = 25516800.

The previous prime is 76991597. The next prime is 76991611. The reversal of 76991600 is 619967.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86357 + ... + 87243.

Almost surely, 2^76991600 is an apocalyptic number.

76991600 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 76991600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109231104).

76991600 is an abundant number, since it is smaller than the sum of its proper divisors (141470608).

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

76991600 is a wasteful number, since it uses less digits than its factorization.

76991600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 38.

The square root of 76991600 is about 8774.4857399166. The cubic root of 76991600 is about 425.4166156912.

The spelling of 76991600 in words is "seventy-six million, nine hundred ninety-one thousand, six hundred".