70912800 has 432 divisors, whose sum is σ = 302793120. Its totient is φ = 15966720.

The previous prime is 70912783. The next prime is 70912909. The reversal of 70912800 is 821907.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1058367 + ... + 1058433.

It is an arithmetic number, because the mean of its divisors is an integer number (700910).

Almost surely, 2^70912800 is an apocalyptic number.

70912800 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 70912800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151396560).

70912800 is an abundant number, since it is smaller than the sum of its proper divisors (231880320).

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

70912800 is a wasteful number, since it uses less digits than its factorization.

70912800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 70912800 is about 8420.9738154206. The cubic root of 70912800 is about 413.9121846931.

The spelling of 70912800 in words is "seventy million, nine hundred twelve thousand, eight hundred".