77345832960 has 1080 divisors, whose sum is σ = 321098250480. Its totient is φ = 17647534080.

The previous prime is 77345832953. The next prime is 77345832973. The reversal of 77345832960 is 6923854377.

77345832960 is a `hidden beast` number, since 7 + 7 + 34 + 583 + 29 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 = 77345832897 and 77345832906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4549754872 + ... + 4549754888.

Almost surely, 2^77345832960 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 77345832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160549125240).

77345832960 is an abundant number, since it is smaller than the sum of its proper divisors (243752417520).

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

77345832960 is a wasteful number, since it uses less digits than its factorization.

77345832960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 77345832960 in words is "seventy-seven billion, three hundred forty-five million, eight hundred thirty-two thousand, nine hundred sixty".