76696289280 has 384 divisors, whose sum is σ = 286400008440. Its totient is φ = 18874368000.

The previous prime is 76696289249. The next prime is 76696289281. The reversal of 76696289280 is 8298269667.

76696289280 is a `hidden beast` number, since 76 + 6 + 9 + 6 + 289 + 280 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25887522816 + 50808766464 = 160896^2 + 225408^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (76696289281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19167280 + ... + 19171280.

Almost surely, 2^76696289280 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 76696289280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143200004220).

76696289280 is an abundant number, since it is smaller than the sum of its proper divisors (209703719160).

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

76696289280 is a wasteful number, since it uses less digits than its factorization.

76696289280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4055 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 76696289280 in words is "seventy-six billion, six hundred ninety-six million, two hundred eighty-nine thousand, two hundred eighty".