76396320 has 576 divisors, whose sum is σ = 356638464. Its totient is φ = 14376960.

The previous prime is 76396301. The next prime is 76396343. The reversal of 76396320 is 2369367.

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 95 ways as a sum of consecutive naturals, for example, 1441414 + ... + 1441466.

It is an arithmetic number, because the mean of its divisors is an integer number (619164).

Almost surely, 2^76396320 is an apocalyptic number.

76396320 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 76396320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178319232).

76396320 is an abundant number, since it is smaller than the sum of its proper divisors (280242144).

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

76396320 is a wasteful number, since it uses less digits than its factorization.

76396320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 76396320 is about 8740.4988415994. The cubic root of 76396320 is about 424.3173724440.

The spelling of 76396320 in words is "seventy-six million, three hundred ninety-six thousand, three hundred twenty".