77091204960 has 2304 divisors, whose sum is σ = 378602864640. Its totient is φ = 13795246080.

The previous prime is 77091204959. The next prime is 77091204973. The reversal of 77091204960 is 6940219077.

77091204960 is a `hidden beast` number, since 7 + 70 + 91 + 2 + 0 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1792818699 + ... + 1792818741.

It is an arithmetic number, because the mean of its divisors is an integer number (164324160).

Almost surely, 2^77091204960 is an apocalyptic number.

77091204960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77091204960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189301432320).

77091204960 is an abundant number, since it is smaller than the sum of its proper divisors (301511659680).

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

77091204960 is a wasteful number, since it uses less digits than its factorization.

77091204960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 77091204960 in words is "seventy-seven billion, ninety-one million, two hundred four thousand, nine hundred sixty".