76803888 has 80 divisors (see below), whose sum is σ = 228199680. Its totient is φ = 21804288.

The previous prime is 76803863. The next prime is 76803949. The reversal of 76803888 is 88830867.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59506 + ... + 60782.

It is an arithmetic number, because the mean of its divisors is an integer number (2852496).

Almost surely, 2^76803888 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 76803888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114099840).

76803888 is an abundant number, since it is smaller than the sum of its proper divisors (151395792).

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

76803888 is a wasteful number, since it uses less digits than its factorization.

76803888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 76803888 is about 8763.7827449110. The cubic root of 76803888 is about 425.0706004973.

The spelling of 76803888 in words is "seventy-six million, eight hundred three thousand, eight hundred eighty-eight".