76804992 has 288 divisors, whose sum is σ = 264537000. Its totient is φ = 21288960.

The previous prime is 76804967. The next prime is 76804993. The reversal of 76804992 is 29940867.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×76804992² = 11798013592240128, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76804993) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2648434 + ... + 2648462.

Almost surely, 2^76804992 is an apocalyptic number.

76804992 is a gapful number since it is divisible by the number (72) 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 76804992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132268500).

76804992 is an abundant number, since it is smaller than the sum of its proper divisors (187732008).

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

76804992 is a wasteful number, since it uses less digits than its factorization.

76804992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 76804992 is about 8763.8457311845. The cubic root of 76804992 is about 425.0726371811.

The spelling of 76804992 in words is "seventy-six million, eight hundred four thousand, nine hundred ninety-two".