70716800 has 288 divisors, whose sum is σ = 227094840. Its totient is φ = 21504000.

The previous prime is 70716791. The next prime is 70716817. The reversal of 70716800 is 861707.

It is a congruent number.

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, 1724780 + ... + 1724820.

Almost surely, 2^70716800 is an apocalyptic number.

70716800 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 70716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113547420).

70716800 is an abundant number, since it is smaller than the sum of its proper divisors (156378040).

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

70716800 is a wasteful number, since it uses less digits than its factorization.

70716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 70716800 is about 8409.3281539015. The cubic root of 70716800 is about 413.5304875154.

The spelling of 70716800 in words is "seventy million, seven hundred sixteen thousand, eight hundred".