76930320 has 80 divisors (see below), whose sum is σ = 241805952. Its totient is φ = 20229120.

The previous prime is 76930307. The next prime is 76930327. The reversal of 76930320 is 2303967.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (76930327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15325 + ... + 19715.

Almost surely, 2^76930320 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 76930320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120902976).

76930320 is an abundant number, since it is smaller than the sum of its proper divisors (164875632).

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

76930320 is a wasteful number, since it uses less digits than its factorization.

76930320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4480 (or 4474 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 76930320 is about 8770.9931022661. The cubic root of 76930320 is about 425.3037183111.

The spelling of 76930320 in words is "seventy-six million, nine hundred thirty thousand, three hundred twenty".