76885839360 has 960 divisors, whose sum is σ = 311520686400. Its totient is φ = 17939496960.

The previous prime is 76885839353. The next prime is 76885839379. The reversal of 76885839360 is 6393858867.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×76885839360² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 242541922 + ... + 242542238.

It is an arithmetic number, because the mean of its divisors is an integer number (324500715).

Almost surely, 2^76885839360 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 76885839360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155760343200).

76885839360 is an abundant number, since it is smaller than the sum of its proper divisors (234634847040).

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

76885839360 is a wasteful number, since it uses less digits than its factorization.

76885839360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 76885839360 in words is "seventy-six billion, eight hundred eighty-five million, eight hundred thirty-nine thousand, three hundred sixty".