700814400 has 336 divisors, whose sum is σ = 2703868608. Its totient is φ = 156672000.

The previous prime is 700814399. The next prime is 700814419. The reversal of 700814400 is 4418007.

It is a super-2 number, since 2×700814400² = 982281646494720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 685890 + ... + 686910.

It is an arithmetic number, because the mean of its divisors is an integer number (8047228).

Almost surely, 2^700814400 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 700814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351934304).

700814400 is an abundant number, since it is smaller than the sum of its proper divisors (2003054208).

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

700814400 is a wasteful number, since it uses less digits than its factorization.

700814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 700814400 is about 26472.8993500901. The cubic root of 700814400 is about 888.2482059195.

The spelling of 700814400 in words is "seven hundred million, eight hundred fourteen thousand, four hundred".