76813884 has 144 divisors (see below), whose sum is σ = 238318080. Its totient is φ = 20373120.

The previous prime is 76813873. The next prime is 76813901. The reversal of 76813884 is 48831867.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 291937 + ... + 292199.

Almost surely, 2^76813884 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 76813884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119159040).

76813884 is an abundant number, since it is smaller than the sum of its proper divisors (161504196).

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

76813884 is a wasteful number, since it uses less digits than its factorization.

76813884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 355 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 76813884 is about 8764.3530280335. The cubic root of 76813884 is about 425.0890406289.

The spelling of 76813884 in words is "seventy-six million, eight hundred thirteen thousand, eight hundred eighty-four".