77920036488000 has 672 divisors, whose sum is σ = 335317884445440. Its totient is φ = 16872908083200.

The previous prime is 77920036487987. The next prime is 77920036488001. The reversal of 77920036488000 is 88463002977.

77920036488000 is a `hidden beast` number, since 7 + 79 + 200 + 364 + 8 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77920036488001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5507494 + ... + 13644506.

Almost surely, 2^{77920036488000} is an apocalyptic number.

77920036488000 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 77920036488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167658942222720).

77920036488000 is an abundant number, since it is smaller than the sum of its proper divisors (257397847957440).

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

77920036488000 is a wasteful number, since it uses less digits than its factorization.

77920036488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8137072 (or 8137049 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 77920036488000 in words is "seventy-seven trillion, nine hundred twenty billion, thirty-six million, four hundred eighty-eight thousand".