76771203120960 has 224 divisors, whose sum is σ = 252172127404800. Its totient is φ = 19764933672960.

The previous prime is 76771203120907. The next prime is 76771203120973. The reversal of 76771203120960 is 6902130217767.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410797140 + ... + 410983980.

Almost surely, 2^{76771203120960} 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 76771203120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126086063702400).

76771203120960 is an abundant number, since it is smaller than the sum of its proper divisors (175400924283840).

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

76771203120960 is a wasteful number, since it uses less digits than its factorization.

76771203120960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201649 (or 201639 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 51.

The spelling of 76771203120960 in words is "seventy-six trillion, seven hundred seventy-one billion, two hundred three million, one hundred twenty thousand, nine hundred sixty".