76057981440 has 320 divisors, whose sum is σ = 285401090304. Its totient is φ = 16914382848.

The previous prime is 76057981427. The next prime is 76057981501. The reversal of 76057981440 is 4418975067.

It is a tau number, because it is divible by the number of its divisors (320).

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, 1970002 + ... + 2008238.

Almost surely, 2^76057981440 is an apocalyptic number.

76057981440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76057981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142700545152).

76057981440 is an abundant number, since it is smaller than the sum of its proper divisors (209343108864).

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

76057981440 is a wasteful number, since it uses less digits than its factorization.

76057981440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38307 (or 38291 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 76057981440 in words is "seventy-six billion, fifty-seven million, nine hundred eighty-one thousand, four hundred forty".