264790760 has 64 divisors (see below), whose sum is σ = 647740800. Its totient is φ = 96834816.

The previous prime is 264790741. The next prime is 264790763. The reversal of 264790760 is 67097462.

264790760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×264790760² = 140228293162755200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (264790763) 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, 53261 + ... + 58019.

It is an arithmetic number, because the mean of its divisors is an integer number (10120950).

Almost surely, 2^264790760 is an apocalyptic number.

264790760 is a gapful number since it is divisible by the number (20) 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 264790760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323870400).

264790760 is an abundant number, since it is smaller than the sum of its proper divisors (382950040).

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

264790760 is a wasteful number, since it uses less digits than its factorization.

264790760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4890 (or 4886 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 41.

The square root of 264790760 is about 16272.3925714690. The cubic root of 264790760 is about 642.1467300481.

The spelling of 264790760 in words is "two hundred sixty-four million, seven hundred ninety thousand, seven hundred sixty".