708400 has 120 divisors (see below), whose sum is σ = 2214144. Its totient is φ = 211200.

The previous prime is 708371. The next prime is 708403. The reversal of 708400 is 4807.

708400 = 133² + 134² + ... + 164².

It is a happy number.

708400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (708403) 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, 30789 + ... + 30811.

2⁷⁰⁸⁴⁰⁰ is an apocalyptic number.

708400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 708400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107072).

708400 is an abundant number, since it is smaller than the sum of its proper divisors (1505744).

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

708400 is a wasteful number, since it uses less digits than its factorization.

708400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 708400 is about 841.6650165000. The cubic root of 708400 is about 89.1441505244.

The spelling of 708400 in words is "seven hundred eight thousand, four hundred".