70476800 has 66 divisors (see below), whose sum is σ = 174760578. Its totient is φ = 28180480.

The previous prime is 70476793. The next prime is 70476859. The reversal of 70476800 is 867407.

It can be written as a sum of positive squares in 3 ways, for example, as 16777216 + 53699584 = 4096^2 + 7328^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24224 + ... + 26976.

Almost surely, 2^70476800 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 70476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87380289).

70476800 is an abundant number, since it is smaller than the sum of its proper divisors (104283778).

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

70476800 is a wasteful number, since it uses less digits than its factorization.

70476800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 70476800 is about 8395.0461583007. The cubic root of 70476800 is about 413.0621414506.

The spelling of 70476800 in words is "seventy million, four hundred seventy-six thousand, eight hundred".