76208704 has 84 divisors (see below), whose sum is σ = 179247292. Its totient is φ = 31933440.

The previous prime is 76208701. The next prime is 76208731. The reversal of 76208704 is 40780267.

It can be written as a sum of positive squares in 2 ways, for example, as 27878400 + 48330304 = 5280^2 + 6952^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 76208704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76208701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100294 + ... + 101050.

Almost surely, 2^76208704 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 76208704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89623646).

76208704 is an abundant number, since it is smaller than the sum of its proper divisors (103038588).

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

76208704 is a wasteful number, since it uses less digits than its factorization.

76208704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 76208704 is about 8729.7596759590. The cubic root of 76208704 is about 423.9697379612.

The spelling of 76208704 in words is "seventy-six million, two hundred eight thousand, seven hundred four".