700828007 has 36 divisors (see below), whose sum is σ = 817388208. Its totient is φ = 600230400.

The previous prime is 700828001. The next prime is 700828027.

It is a happy number.

700828007 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 700828007 - 2¹⁴ = 700811623 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (700828001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7224983 + ... + 7225079.

It is an arithmetic number, because the mean of its divisors is an integer number (22705228).

Almost surely, 2^700828007 is an apocalyptic number.

700828007 is a deficient number, since it is larger than the sum of its proper divisors (116560201).

700828007 is a wasteful number, since it uses less digits than its factorization.

700828007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The square root of 700828007 is about 26473.1563475155. The cubic root of 700828007 is about 888.2539546195.

The spelling of 700828007 in words is "seven hundred million, eight hundred twenty-eight thousand, seven".