77913386460 has 1152 divisors, whose sum is σ = 328177833984. Its totient is φ = 15049359360.

The previous prime is 77913386387. The next prime is 77913386539. The reversal of 77913386460 is 6468331977.

77913386460 is a `hidden beast` number, since 7 + 79 + 1 + 33 + 86 + 460 = 666.

It is a super-2 number, since 2×77913386460² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 77913386397 and 77913386406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 323291940 + ... + 323292180.

It is an arithmetic number, because the mean of its divisors is an integer number (284876592).

Almost surely, 2^77913386460 is an apocalyptic number.

77913386460 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 77913386460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164088916992).

77913386460 is an abundant number, since it is smaller than the sum of its proper divisors (250264447524).

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

77913386460 is a wasteful number, since it uses less digits than its factorization.

77913386460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 77913386460 in words is "seventy-seven billion, nine hundred thirteen million, three hundred eighty-six thousand, four hundred sixty".