76871977378560 has 8064 divisors, whose sum is σ = 389139506380800. Its totient is φ = 14086200360960.

The previous prime is 76871977378513. The next prime is 76871977378597. The reversal of 76871977378560 is 6587377917867.

76871977378560 is a `hidden beast` number, since 7 + 6 + 8 + 7 + 19 + 7 + 7 + 37 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (8064).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 76871977378560.

It is an unprimeable number.

It is a polite number, since it can be written in 895 ways as a sum of consecutive naturals, for example, 1450414667494 + ... + 1450414667546.

It is an arithmetic number, because the mean of its divisors is an integer number (48256387200).

Almost surely, 2^{76871977378560} is an apocalyptic number.

76871977378560 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 76871977378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194569753190400).

76871977378560 is an abundant number, since it is smaller than the sum of its proper divisors (312267529002240).

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

76871977378560 is a wasteful number, since it uses less digits than its factorization.

76871977378560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 5227649280, while the sum is 81.

The spelling of 76871977378560 in words is "seventy-six trillion, eight hundred seventy-one billion, nine hundred seventy-seven million, three hundred seventy-eight thousand, five hundred sixty".