76657480 has 64 divisors (see below), whose sum is σ = 177778800. Its totient is φ = 29736960.

The previous prime is 76657453. The next prime is 76657487. The reversal of 76657480 is 8475667.

It can be written as a sum of positive squares in 8 ways, for example, as 3006756 + 73650724 = 1734^2 + 8582^2 .

It is not an unprimeable number, because it can be changed into a prime (76657487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216984 + ... + 217336.

Almost surely, 2^76657480 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 76657480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88889400).

76657480 is an abundant number, since it is smaller than the sum of its proper divisors (101121320).

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

76657480 is a wasteful number, since it uses less digits than its factorization.

76657480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The square root of 76657480 is about 8755.4257463587. The cubic root of 76657480 is about 424.8003306601.

The spelling of 76657480 in words is "seventy-six million, six hundred fifty-seven thousand, four hundred eighty".