77277460070400 has 384 divisors, whose sum is σ = 255618705471840. Its totient is φ = 20599920394240.

The previous prime is 77277460070351. The next prime is 77277460070429. The reversal of 77277460070400 is 407006477277.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12221641639 + ... + 12221647961.

Almost surely, 2^{77277460070400} 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 77277460070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127809352735920).

77277460070400 is an abundant number, since it is smaller than the sum of its proper divisors (178341245401440).

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

77277460070400 is an equidigital number, since it uses as much as digits as its factorization.

77277460070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11339 (or 11306 counting only the distinct ones).

The product of its (nonzero) digits is 3226944, while the sum is 51.

The spelling of 77277460070400 in words is "seventy-seven trillion, two hundred seventy-seven billion, four hundred sixty million, seventy thousand, four hundred".