76954288080384 has 840 divisors, whose sum is σ = 272888603344896. Its totient is φ = 21525510758400.

The previous prime is 76954288080349. The next prime is 76954288080487. The reversal of 76954288080384 is 48308088245967.

76954288080384 is a `hidden beast` number, since 7 + 6 + 95 + 4 + 2 + 8 + 80 + 80 + 384 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 587053569 + ... + 587184639.

Almost surely, 2^{76954288080384} 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 76954288080384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136444301672448).

76954288080384 is an abundant number, since it is smaller than the sum of its proper divisors (195934315264512).

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

76954288080384 is a wasteful number, since it uses less digits than its factorization.

76954288080384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131142 (or 131100 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 76954288080384 in words is "seventy-six trillion, nine hundred fifty-four billion, two hundred eighty-eight million, eighty thousand, three hundred eighty-four".