76201884 has 72 divisors (see below), whose sum is σ = 217945728. Its totient is φ = 23088240.

The previous prime is 76201877. The next prime is 76201897. The reversal of 76201884 is 48810267.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7129 + ... + 14255.

It is an arithmetic number, because the mean of its divisors is an integer number (3027024).

Almost surely, 2^76201884 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 76201884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108972864).

76201884 is an abundant number, since it is smaller than the sum of its proper divisors (141743844).

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

76201884 is a wasteful number, since it uses less digits than its factorization.

76201884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7157 (or 7143 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 76201884 is about 8729.3690493643. The cubic root of 76201884 is about 423.9570904126.

The spelling of 76201884 in words is "seventy-six million, two hundred one thousand, eight hundred eighty-four".