70644800 has 84 divisors (see below), whose sum is σ = 176692560. Its totient is φ = 27793920.

The previous prime is 70644797. The next prime is 70644823. The reversal of 70644800 is 844607.

70644800 = 490² + 491² + ... + 690².

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 11 ways as a sum of consecutive naturals, for example, 106871 + ... + 107529.

Almost surely, 2^70644800 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 70644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88346280).

70644800 is an abundant number, since it is smaller than the sum of its proper divisors (106047760).

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

70644800 is a wasteful number, since it uses less digits than its factorization.

70644800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 70644800 is about 8405.0461033834. The cubic root of 70644800 is about 413.3900951068.

The spelling of 70644800 in words is "seventy million, six hundred forty-four thousand, eight hundred".