76488984 has 384 divisors, whose sum is σ = 283046400. Its totient is φ = 18247680.

The previous prime is 76488983. The next prime is 76489013. The reversal of 76488984 is 48988467.

76488984 is a `hidden beast` number, since 76 + 488 + 98 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 76488984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76488983) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3325597 + ... + 3325619.

It is an arithmetic number, because the mean of its divisors is an integer number (737100).

Almost surely, 2^76488984 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 76488984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

76488984 is an abundant number, since it is smaller than the sum of its proper divisors (206557416).

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

76488984 is a wasteful number, since it uses less digits than its factorization.

76488984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 88 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 76488984 is about 8745.7980767909. The cubic root of 76488984 is about 424.4888600172.

The spelling of 76488984 in words is "seventy-six million, four hundred eighty-eight thousand, nine hundred eighty-four".