76015920 has 160 divisors (see below), whose sum is σ = 251983872. Its totient is φ = 18912256.

The previous prime is 76015909. The next prime is 76015949. The reversal of 76015920 is 2951067.

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

It is a congruent number.

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, 259294 + ... + 259586.

Almost surely, 2^76015920 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 76015920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125991936).

76015920 is an abundant number, since it is smaller than the sum of its proper divisors (175967952).

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

76015920 is a wasteful number, since it uses less digits than its factorization.

76015920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 76015920 is about 8718.7109138909. The cubic root of 76015920 is about 423.6119328130.

Adding to 76015920 its reverse (2951067), we get a palindrome (78966987).

The spelling of 76015920 in words is "seventy-six million, fifteen thousand, nine hundred twenty".