77580485377920 has 1536 divisors, whose sum is σ = 315378385920000. Its totient is φ = 17208600035328.

The previous prime is 77580485377909. The next prime is 77580485377921. The reversal of 77580485377920 is 2977358408577.

77580485377920 is a `hidden beast` number, since 7 + 7 + 5 + 80 + 4 + 8 + 537 + 7 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×77580485377920² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77580485377921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 129516669781 + ... + 129516670379.

It is an arithmetic number, because the mean of its divisors is an integer number (205324470000).

Almost surely, 2^{77580485377920} is an apocalyptic number.

77580485377920 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 77580485377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157689192960000).

77580485377920 is an abundant number, since it is smaller than the sum of its proper divisors (237797900542080).

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

77580485377920 is a wasteful number, since it uses less digits than its factorization.

77580485377920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 829785600, while the sum is 72.

The spelling of 77580485377920 in words is "seventy-seven trillion, five hundred eighty billion, four hundred eighty-five million, three hundred seventy-seven thousand, nine hundred twenty".