760077086976 has 243 divisors, whose sum is σ = 2251326245077. Its totient is φ = 246621573120.

The previous prime is 760077086963. The next prime is 760077086983. The reversal of 760077086976 is 679680770067.

The square root of 760077086976 is 871824.

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

It can be written as a sum of positive squares in only one way, i.e., 36624773376 + 723452313600 = 191376^2 + 850560^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1715749411 + ... + 1715749853.

Almost surely, 2^760077086976 is an apocalyptic number.

760077086976 is the 871824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 760077086976

760077086976 is an abundant number, since it is smaller than the sum of its proper divisors (1491249158101).

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

760077086976 is an frugal number, since it uses more digits than its factorization.

760077086976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 37340352, while the sum is 63.

The spelling of 760077086976 in words is "seven hundred sixty billion, seventy-seven million, eighty-six thousand, nine hundred seventy-six".