77814507456 has 336 divisors, whose sum is σ = 276491517120. Its totient is φ = 20413808640.

The previous prime is 77814507413. The next prime is 77814507469. The reversal of 77814507456 is 65470541877.

77814507456 is a `hidden beast` number, since 7 + 7 + 81 + 4 + 507 + 4 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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, 2796460 + ... + 2824148.

It is an arithmetic number, because the mean of its divisors is an integer number (822891420).

Almost surely, 2^77814507456 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 77814507456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138245758560).

77814507456 is an abundant number, since it is smaller than the sum of its proper divisors (198677009664).

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

77814507456 is a wasteful number, since it uses less digits than its factorization.

77814507456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27772 (or 27759 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 77814507456 in words is "seventy-seven billion, eight hundred fourteen million, five hundred seven thousand, four hundred fifty-six".