76505088 has 112 divisors (see below), whose sum is σ = 223333056. Its totient is φ = 23101440.

The previous prime is 76505087. The next prime is 76505111. The reversal of 76505088 is 88050567.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76505081) 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, 270195 + ... + 270477.

Almost surely, 2^76505088 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 76505088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111666528).

76505088 is an abundant number, since it is smaller than the sum of its proper divisors (146827968).

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

76505088 is a wasteful number, since it uses less digits than its factorization.

76505088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 76505088 is about 8746.7186990322. The cubic root of 76505088 is about 424.5186485722.

The spelling of 76505088 in words is "seventy-six million, five hundred five thousand, eighty-eight".