709790400 has 252 divisors, whose sum is σ = 2752718904. Its totient is φ = 172032000.

The previous prime is 709790359. The next prime is 709790437. The reversal of 709790400 is 4097907.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 156160 + ... + 160640.

Almost surely, 2^709790400 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 709790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376359452).

709790400 is an abundant number, since it is smaller than the sum of its proper divisors (2042928504).

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

709790400 is a wasteful number, since it uses less digits than its factorization.

709790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4520 (or 4502 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 709790400 is about 26641.8918247185. The cubic root of 709790400 is about 892.0243446204.

The spelling of 709790400 in words is "seven hundred nine million, seven hundred ninety thousand, four hundred".