76801581360 has 480 divisors, whose sum is σ = 315363065472. Its totient is φ = 16349921280.

The previous prime is 76801581359. The next prime is 76801581383. The reversal of 76801581360 is 6318510867.

76801581360 is a `hidden beast` number, since 7 + 6 + 8 + 0 + 1 + 581 + 3 + 60 = 666.

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

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, 8306340 + ... + 8315580.

Almost surely, 2^76801581360 is an apocalyptic number.

76801581360 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 76801581360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157681532736).

76801581360 is an abundant number, since it is smaller than the sum of its proper divisors (238561484112).

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

76801581360 is a wasteful number, since it uses less digits than its factorization.

76801581360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9381 (or 9372 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 76801581360 in words is "seventy-six billion, eight hundred one million, five hundred eighty-one thousand, three hundred sixty".