70408800 has 432 divisors, whose sum is σ = 311980032. Its totient is φ = 14515200.

The previous prime is 70408799. The next prime is 70408837. The reversal of 70408800 is 880407.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 554337 + ... + 554463.

It is an arithmetic number, because the mean of its divisors is an integer number (722176).

Almost surely, 2^70408800 is an apocalyptic number.

70408800 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 70408800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155990016).

70408800 is an abundant number, since it is smaller than the sum of its proper divisors (241571232).

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

70408800 is a wasteful number, since it uses less digits than its factorization.

70408800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 70408800 is about 8390.9951733987. The cubic root of 70408800 is about 412.9292501343.

The spelling of 70408800 in words is "seventy million, four hundred eight thousand, eight hundred".