83760704 has 56 divisors (see below), whose sum is σ = 172245528. Its totient is φ = 40386560.

The previous prime is 83760679. The next prime is 83760713. The reversal of 83760704 is 40706738.

It can be written as a sum of positive squares in 4 ways, for example, as 1600 + 83759104 = 40^2 + 9152^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 359372 + ... + 359604.

It is an arithmetic number, because the mean of its divisors is an integer number (3075813).

Almost surely, 2^83760704 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 83760704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86122764).

83760704 is an abundant number, since it is smaller than the sum of its proper divisors (88484824).

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

83760704 is a wasteful number, since it uses less digits than its factorization.

83760704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 83760704 is about 9152.0874121700. The cubic root of 83760704 is about 437.5356448781.

The spelling of 83760704 in words is "eighty-three million, seven hundred sixty thousand, seven hundred four".