77351863680 has 1280 divisors, whose sum is σ = 358293196800. Its totient is φ = 15443509248.

The previous prime is 77351863669. The next prime is 77351863697. The reversal of 77351863680 is 8636815377.

77351863680 is a `hidden beast` number, since 7 + 7 + 3 + 518 + 63 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 89630929 + ... + 89631791.

It is an arithmetic number, because the mean of its divisors is an integer number (279916560).

Almost surely, 2^77351863680 is an apocalyptic number.

77351863680 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 77351863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179146598400).

77351863680 is an abundant number, since it is smaller than the sum of its proper divisors (280941333120).

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

77351863680 is a wasteful number, since it uses less digits than its factorization.

77351863680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 77351863680 in words is "seventy-seven billion, three hundred fifty-one million, eight hundred sixty-three thousand, six hundred eighty".