77883525480960 has 480 divisors, whose sum is σ = 272578484610432. Its totient is φ = 20550883737600.

The previous prime is 77883525480941. The next prime is 77883525480989. The reversal of 77883525480960 is 6908452538877.

77883525480960 is a `hidden beast` number, since 7 + 7 + 8 + 8 + 3 + 52 + 5 + 480 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 894069727 + ... + 894156833.

Almost surely, 2^{77883525480960} 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 77883525480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136289242305216).

77883525480960 is an abundant number, since it is smaller than the sum of its proper divisors (194694959129472).

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

77883525480960 is a wasteful number, since it uses less digits than its factorization.

77883525480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87544 (or 87525 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 77883525480960 in words is "seventy-seven trillion, eight hundred eighty-three billion, five hundred twenty-five million, four hundred eighty thousand, nine hundred sixty".