764088 has 64 divisors (see below), whose sum is σ = 2150400. Its totient is φ = 224640.

The previous prime is 764081. The next prime is 764089. The reversal of 764088 is 880467.

764088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (764081) by changing a digit.

764088 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9633 + ... + 9711.

It is an arithmetic number, because the mean of its divisors is an integer number (33600).

2⁷⁶⁴⁰⁸⁸ is an apocalyptic number.

764088 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 764088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075200).

764088 is an abundant number, since it is smaller than the sum of its proper divisors (1386312).

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

764088 is a wasteful number, since it uses less digits than its factorization.

764088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 764088 is about 874.1212730508. The cubic root of 764088 is about 91.4213842937.

The spelling of 764088 in words is "seven hundred sixty-four thousand, eighty-eight".