77279552064 has 693 divisors, whose sum is σ = 273783837369. Its totient is φ = 21616657920.

The previous prime is 77279552041. The next prime is 77279552069. The reversal of 77279552064 is 46025597277.

It is a happy number.

The square root of 77279552064 is 277992.

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

77279552064 is a `hidden beast` number, since 7 + 7 + 27 + 9 + 552 + 0 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11431886400 + 65847665664 = 106920^2 + 256608^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 77279552064.

It is not an unprimeable number, because it can be changed into a prime (77279552069) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 5944580922 + ... + 5944580934.

Almost surely, 2^77279552064 is an apocalyptic number.

77279552064 is the 277992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77279552064

77279552064 is an abundant number, since it is smaller than the sum of its proper divisors (196504285305).

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

77279552064 is an equidigital number, since it uses as much as digits as its factorization.

77279552064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 77279552064 in words is "seventy-seven billion, two hundred seventy-nine million, five hundred fifty-two thousand, sixty-four".