700538400 has 216 divisors, whose sum is σ = 2490660900. Its totient is φ = 185272320.

The previous prime is 700538381. The next prime is 700538407. The reversal of 700538400 is 4835007.

It can be written as a sum of positive squares in 6 ways, for example, as 55175184 + 645363216 = 7428^2 + 25404^2 .

It is a super-3 number, since 3×700538400³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (700538407) 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, 1072474 + ... + 1073126.

Almost surely, 2^700538400 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 700538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245330450).

700538400 is an abundant number, since it is smaller than the sum of its proper divisors (1790122500).

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

700538400 is a wasteful number, since it uses less digits than its factorization.

700538400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 700538400 is about 26467.6859585420. The cubic root of 700538400 is about 888.1315850781.

The spelling of 700538400 in words is "seven hundred million, five hundred thirty-eight thousand, four hundred".