770572416960 has 336 divisors, whose sum is σ = 2709596897280. Its totient is φ = 200937093120.

The previous prime is 770572416959. The next prime is 770572416973. The reversal of 770572416960 is 69614275077.

770572416960 is a `hidden beast` number, since 7 + 7 + 0 + 572 + 4 + 1 + 6 + 9 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 770572416897 and 770572416906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32442849 + ... + 32466591.

It is an arithmetic number, because the mean of its divisors is an integer number (8064276480).

Almost surely, 2^770572416960 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 770572416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354798448640).

770572416960 is an abundant number, since it is smaller than the sum of its proper divisors (1939024480320).

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

770572416960 is a wasteful number, since it uses less digits than its factorization.

770572416960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24016 (or 24003 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 770572416960 in words is "seven hundred seventy billion, five hundred seventy-two million, four hundred sixteen thousand, nine hundred sixty".