76495841280 has 288 divisors, whose sum is σ = 270140368680. Its totient is φ = 20012728320.

The previous prime is 76495841263. The next prime is 76495841339. The reversal of 76495841280 is 8214859467.

It is a happy number.

76495841280 is a `hidden beast` number, since 7 + 6 + 49 + 584 + 12 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 76494283776 + 1557504 = 276576^2 + 1248^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×76495841280² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4876650 + ... + 4892310.

Almost surely, 2^76495841280 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 76495841280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135070184340).

76495841280 is an abundant number, since it is smaller than the sum of its proper divisors (193644527400).

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

76495841280 is a wasteful number, since it uses less digits than its factorization.

76495841280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15747 (or 15724 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 76495841280 in words is "seventy-six billion, four hundred ninety-five million, eight hundred forty-one thousand, two hundred eighty".