70600800 has 144 divisors (see below), whose sum is σ = 239984640. Its totient is φ = 17994240.

The previous prime is 70600793. The next prime is 70600807. The reversal of 70600800 is 800607.

It is an interprime number because it is at equal distance from previous prime (70600793) and next prime (70600807).

It is a super-3 number, since 3×70600800³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70600807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54561 + ... + 55839.

It is an arithmetic number, because the mean of its divisors is an integer number (1666560).

Almost surely, 2^70600800 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 70600800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119992320).

70600800 is an abundant number, since it is smaller than the sum of its proper divisors (169383840).

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

70600800 is a wasteful number, since it uses less digits than its factorization.

70600800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 70600800 is about 8402.4282204610. The cubic root of 70600800 is about 413.3042527812.

The spelling of 70600800 in words is "seventy million, six hundred thousand, eight hundred".