764490720 has 288 divisors, whose sum is σ = 2839269888. Its totient is φ = 169362432.

The previous prime is 764490689. The next prime is 764490751. The reversal of 764490720 is 27094467.

It is an interprime number because it is at equal distance from previous prime (764490689) and next prime (764490751).

It is a super-2 number, since 2×764490720² = 1168892121932236800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7422189 + ... + 7422291.

It is an arithmetic number, because the mean of its divisors is an integer number (9858576).

Almost surely, 2^764490720 is an apocalyptic number.

764490720 is a gapful number since it is divisible by the number (70) 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 764490720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419634944).

764490720 is an abundant number, since it is smaller than the sum of its proper divisors (2074779168).

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

764490720 is a wasteful number, since it uses less digits than its factorization.

764490720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 764490720 is about 27649.4253104834. The cubic root of 764490720 is about 914.3744298215.

The spelling of 764490720 in words is "seven hundred sixty-four million, four hundred ninety thousand, seven hundred twenty".