710820864 has 264 divisors, whose sum is σ = 2347090200. Its totient is φ = 205258752.

The previous prime is 710820863. The next prime is 710820871. The reversal of 710820864 is 468028017.

It can be written as a sum of positive squares in 4 ways, for example, as 144000000 + 566820864 = 12000^2 + 23808^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (710820863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2036562 + ... + 2036910.

Almost surely, 2^710820864 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 710820864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173545100).

710820864 is an abundant number, since it is smaller than the sum of its proper divisors (1636269336).

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

710820864 is a wasteful number, since it uses less digits than its factorization.

710820864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 710820864 is about 26661.2239779047. The cubic root of 710820864 is about 892.4558121380.

It can be divided in two parts, 7108 and 20864, that added together give a palindrome (27972).

The spelling of 710820864 in words is "seven hundred ten million, eight hundred twenty thousand, eight hundred sixty-four".