76286208 has 72 divisors (see below), whose sum is σ = 215012448. Its totient is φ = 23928832.

The previous prime is 76286201. The next prime is 76286263. The reversal of 76286208 is 80268267.

It is not an unprimeable number, because it can be changed into a prime (76286201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10135 + ... + 15977.

It is an arithmetic number, because the mean of its divisors is an integer number (2986284).

Almost surely, 2^76286208 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 76286208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107506224).

76286208 is an abundant number, since it is smaller than the sum of its proper divisors (138726240).

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

76286208 is a wasteful number, since it uses less digits than its factorization.

76286208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5879 (or 5865 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 76286208 is about 8734.1976162668. The cubic root of 76286208 is about 424.1134145399.

The spelling of 76286208 in words is "seventy-six million, two hundred eighty-six thousand, two hundred eight".