76922081280 has 468 divisors, whose sum is σ = 293158347300. Its totient is φ = 18642370560.

The previous prime is 76922081261. The next prime is 76922081281. The reversal of 76922081280 is 8218022967.

76922081280 is a `hidden beast` number, since 76 + 9 + 220 + 81 + 280 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9438511104 + 67483570176 = 97152^2 + 259776^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76922081281) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22300996 + ... + 22304444.

It is an arithmetic number, because the mean of its divisors is an integer number (626406725).

Almost surely, 2^76922081280 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 76922081280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146579173650).

76922081280 is an abundant number, since it is smaller than the sum of its proper divisors (216236266020).

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

76922081280 is a wasteful number, since it uses less digits than its factorization.

76922081280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3506 (or 3470 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 76922081280 in words is "seventy-six billion, nine hundred twenty-two million, eighty-one thousand, two hundred eighty".