77256130985280 has 1568 divisors, whose sum is σ = 319955668179840. Its totient is φ = 17596463431680.

The previous prime is 77256130985279. The next prime is 77256130985329. The reversal of 77256130985280 is 8258903165277.

77256130985280 is a `hidden beast` number, since 7 + 7 + 2 + 5 + 6 + 13 + 0 + 98 + 528 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2477651290 + ... + 2477682470.

Almost surely, 2^{77256130985280} 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 77256130985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159977834089920).

77256130985280 is an abundant number, since it is smaller than the sum of its proper divisors (242699537194560).

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

77256130985280 is a wasteful number, since it uses less digits than its factorization.

77256130985280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31291 (or 31266 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 77256130985280 in words is "seventy-seven trillion, two hundred fifty-six billion, one hundred thirty million, nine hundred eighty-five thousand, two hundred eighty".