77958233724816 has 75 divisors (see below), whose sum is σ = 225634665889633. Its totient is φ = 25985971955520.

The previous prime is 77958233724803. The next prime is 77958233724911. The reversal of 77958233724816 is 61842733285977.

The square root of 77958233724816 is 8829396.

It is a perfect power (a square), and thus also a powerful number.

77958233724816 is a `hidden beast` number, since 7 + 7 + 9 + 58 + 23 + 3 + 72 + 481 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76408507510416 + 1549726214400 = 8741196^2 + 1244880^2 .

It is a super-2 number, since 2×77958233724816² (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 Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 317735626 + ... + 317980886.

Almost surely, 2^{77958233724816} is an apocalyptic number.

77958233724816 is the 8829396-th square number.

It is an amenable number.

77958233724816 is an abundant number, since it is smaller than the sum of its proper divisors (147676432164817).

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

77958233724816 is an frugal number, since it uses more digits than its factorization.

77958233724816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490542 (or 245266 counting only the distinct ones).

The product of its digits is 853493760, while the sum is 72.

The spelling of 77958233724816 in words is "seventy-seven trillion, nine hundred fifty-eight billion, two hundred thirty-three million, seven hundred twenty-four thousand, eight hundred sixteen".