76792320 has 320 divisors, whose sum is σ = 300516480. Its totient is φ = 18432000.

The previous prime is 76792297. The next prime is 76792337. The reversal of 76792320 is 2329767.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 760270 + ... + 760370.

It is an arithmetic number, because the mean of its divisors is an integer number (939114).

Almost surely, 2^76792320 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 76792320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150258240).

76792320 is an abundant number, since it is smaller than the sum of its proper divisors (223724160).

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

76792320 is a wasteful number, since it uses less digits than its factorization.

76792320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 76792320 is about 8763.1227310817. The cubic root of 76792320 is about 425.0492584198.

It can be divided in two parts, 7679 and 2320, that added together give a palindrome (9999).

The spelling of 76792320 in words is "seventy-six million, seven hundred ninety-two thousand, three hundred twenty".