76864600 has 48 divisors (see below), whose sum is σ = 181260720. Its totient is φ = 30307200.

The previous prime is 76864573. The next prime is 76864621. The reversal of 76864600 is 646867.

76864600 = T₃₇₅ + T₃₇₆ + ... + T₈₀₀.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 76864600.

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, 11494 + ... + 16906.

It is an arithmetic number, because the mean of its divisors is an integer number (3776265).

Almost surely, 2^76864600 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 76864600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90630360).

76864600 is an abundant number, since it is smaller than the sum of its proper divisors (104396120).

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

76864600 is a wasteful number, since it uses less digits than its factorization.

76864600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5500 (or 5491 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 76864600 is about 8767.2458617288. The cubic root of 76864600 is about 425.1825743831.

The spelling of 76864600 in words is "seventy-six million, eight hundred sixty-four thousand, six hundred".