76156320 has 96 divisors (see below), whose sum is σ = 248209920. Its totient is φ = 19604480.

The previous prime is 76156319. The next prime is 76156331. The reversal of 76156320 is 2365167.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11185 + ... + 16655.

It is an arithmetic number, because the mean of its divisors is an integer number (2585520).

Almost surely, 2^76156320 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 76156320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124104960).

76156320 is an abundant number, since it is smaller than the sum of its proper divisors (172053600).

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

76156320 is a wasteful number, since it uses less digits than its factorization.

76156320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5518 (or 5510 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 76156320 is about 8726.7588485073. The cubic root of 76156320 is about 423.8725735507.

The spelling of 76156320 in words is "seventy-six million, one hundred fifty-six thousand, three hundred twenty".