70816800 has 144 divisors (see below), whose sum is σ = 242796960. Its totient is φ = 17879040.

The previous prime is 70816787. The next prime is 70816813. The reversal of 70816800 is 861807.

It is an interprime number because it is at equal distance from previous prime (70816787) and next prime (70816813).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44824 + ... + 46376.

It is an arithmetic number, because the mean of its divisors is an integer number (1686090).

Almost surely, 2^70816800 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 70816800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121398480).

70816800 is an abundant number, since it is smaller than the sum of its proper divisors (171980160).

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

70816800 is a wasteful number, since it uses less digits than its factorization.

70816800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 70816800 is about 8415.2718316166. The cubic root of 70816800 is about 413.7253189733.

The spelling of 70816800 in words is "seventy million, eight hundred sixteen thousand, eight hundred".