77864844960 has 288 divisors, whose sum is σ = 311081202432. Its totient is φ = 17363496960.

The previous prime is 77864844931. The next prime is 77864844973. The reversal of 77864844960 is 6944846877.

77864844960 is a `hidden beast` number, since 7 + 7 + 8 + 64 + 84 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319077 + ... + 507483.

It is an arithmetic number, because the mean of its divisors is an integer number (1080143064).

Almost surely, 2^77864844960 is an apocalyptic number.

77864844960 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 77864844960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155540601216).

77864844960 is an abundant number, since it is smaller than the sum of its proper divisors (233216357472).

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

77864844960 is a wasteful number, since it uses less digits than its factorization.

77864844960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188476 (or 188465 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 77864844960 in words is "seventy-seven billion, eight hundred sixty-four million, eight hundred forty-four thousand, nine hundred sixty".