76079081520 has 960 divisors, whose sum is σ = 300100792320. Its totient is φ = 17904706560.

The previous prime is 76079081503. The next prime is 76079081537. The reversal of 76079081520 is 2518097067.

76079081520 is a `hidden beast` number, since 7 + 607 + 9 + 0 + 8 + 15 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (76079081503) and next prime (76079081537).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 916615399 + ... + 916615481.

It is an arithmetic number, because the mean of its divisors is an integer number (312604992).

Almost surely, 2^76079081520 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 76079081520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150050396160).

76079081520 is an abundant number, since it is smaller than the sum of its proper divisors (224021710800).

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

76079081520 is a wasteful number, since it uses less digits than its factorization.

76079081520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 76079081520 in words is "seventy-six billion, seventy-nine million, eighty-one thousand, five hundred twenty".