77856001000344 has 96 divisors (see below), whose sum is σ = 253666168704000. Its totient is φ = 21073804779456.

The previous prime is 77856001000339. The next prime is 77856001000391. The reversal of 77856001000344 is 44300010065877.

77856001000344 is a `hidden beast` number, since 7 + 7 + 8 + 5 + 600 + 1 + 0 + 0 + 0 + 34 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 77856001000344.

It is a congruent number.

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, 4065153384 + ... + 4065172535.

It is an arithmetic number, because the mean of its divisors is an integer number (2642355924000).

Almost surely, 2^{77856001000344} is an apocalyptic number.

It is an amenable number.

77856001000344 is an abundant number, since it is smaller than the sum of its proper divisors (175810167703656).

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

77856001000344 is a wasteful number, since it uses less digits than its factorization.

77856001000344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8130325957 (or 8130325950 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 77856001000344 in words is "seventy-seven trillion, eight hundred fifty-six billion, one million, three hundred forty-four", and thus it is an aban number.