76828480 has 28 divisors (see below), whose sum is σ = 182948580. Its totient is φ = 30731264.

The previous prime is 76828471. The next prime is 76828481. The reversal of 76828480 is 8482867.

It can be written as a sum of positive squares in 2 ways, for example, as 17106496 + 59721984 = 4136^2 + 7728^2 .

It is a super-2 number, since 2×76828480² = 11805230678220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76828481) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 119725 + ... + 120364.

Almost surely, 2^76828480 is an apocalyptic number.

It is an amenable number.

76828480 is an abundant number, since it is smaller than the sum of its proper divisors (106120100).

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

76828480 is a wasteful number, since it uses less digits than its factorization.

76828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240106 (or 240096 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The square root of 76828480 is about 8765.1856797218. The cubic root of 76828480 is about 425.1159637421.

The spelling of 76828480 in words is "seventy-six million, eight hundred twenty-eight thousand, four hundred eighty".