76116288 has 112 divisors (see below), whose sum is σ = 209889344. Its totient is φ = 24330240.

The previous prime is 76116283. The next prime is 76116301. The reversal of 76116288 is 88261167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76116283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 784656 + ... + 784752.

It is an arithmetic number, because the mean of its divisors is an integer number (1874012).

Almost surely, 2^76116288 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 76116288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104944672).

76116288 is an abundant number, since it is smaller than the sum of its proper divisors (133773056).

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

76116288 is a wasteful number, since it uses less digits than its factorization.

76116288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 230 counting only the distinct ones).

The product of its digits is 32256, while the sum is 39.

The square root of 76116288 is about 8724.4649119588. The cubic root of 76116288 is about 423.7982901955.

The spelling of 76116288 in words is "seventy-six million, one hundred sixteen thousand, two hundred eighty-eight".