772671588480 has 512 divisors, whose sum is σ = 3002706028800. Its totient is φ = 186223656960.

The previous prime is 772671588467. The next prime is 772671588511. The reversal of 772671588480 is 84885176277.

772671588480 is a `hidden beast` number, since 7 + 7 + 2 + 6 + 7 + 1 + 588 + 48 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32872092 + ... + 32895588.

Almost surely, 2^772671588480 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 772671588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501353014400).

772671588480 is an abundant number, since it is smaller than the sum of its proper divisors (2230034440320).

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

772671588480 is a wasteful number, since it uses less digits than its factorization.

772671588480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23709 (or 23691 counting only the distinct ones).

The product of its (nonzero) digits is 42147840, while the sum is 63.

The spelling of 772671588480 in words is "seven hundred seventy-two billion, six hundred seventy-one million, five hundred eighty-eight thousand, four hundred eighty".