772060968900 has 405 divisors, whose sum is σ = 2713655672343. Its totient is φ = 189792720000.

The previous prime is 772060968857. The next prime is 772060968949. The reversal of 772060968900 is 9869060277.

The square root of 772060968900 is 878670.

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

772060968900 is a `hidden beast` number, since 7 + 7 + 20 + 609 + 6 + 8 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 198999856836 + 573061112064 = 446094^2 + 757008^2 .

It is a tau number, because it is divible by the number of its divisors (405).

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1028043525 + ... + 1028044275.

Almost surely, 2^772060968900 is an apocalyptic number.

772060968900 is the 878670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772060968900

772060968900 is an abundant number, since it is smaller than the sum of its proper divisors (1941594703443).

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

772060968900 is a wasteful number, since it uses less digits than its factorization.

772060968900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 772060968900 in words is "seven hundred seventy-two billion, sixty million, nine hundred sixty-eight thousand, nine hundred".