700107264 has 120 divisors (see below), whose sum is σ = 2037140820. Its totient is φ = 231456768.

The previous prime is 700107259. The next prime is 700107293. The reversal of 700107264 is 462701007.

It can be written as a sum of positive squares in 2 ways, for example, as 644753664 + 55353600 = 25392^2 + 7440^2 .

It is a super-2 number, since 2×700107264² = 980300362211131392, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 630742 + ... + 631850.

Almost surely, 2^700107264 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 700107264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018570410).

700107264 is an abundant number, since it is smaller than the sum of its proper divisors (1337033556).

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

700107264 is a wasteful number, since it uses less digits than its factorization.

700107264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 700107264 is about 26459.5401320582. The cubic root of 700107264 is about 887.9493518714.

The spelling of 700107264 in words is "seven hundred million, one hundred seven thousand, two hundred sixty-four".