77510680965120 has 1664 divisors, whose sum is σ = 286444716687360. Its totient is φ = 17738178232320.

The previous prime is 77510680965049. The next prime is 77510680965199. The reversal of 77510680965120 is 2156908601577.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a super-2 number, since 2×77510680965120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 252477788007 + ... + 252477788313.

Almost surely, 2^{77510680965120} 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 77510680965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143222358343680).

77510680965120 is an abundant number, since it is smaller than the sum of its proper divisors (208934035722240).

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

77510680965120 is a wasteful number, since it uses less digits than its factorization.

77510680965120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 57.

The spelling of 77510680965120 in words is "seventy-seven trillion, five hundred ten billion, six hundred eighty million, nine hundred sixty-five thousand, one hundred twenty".