70890400 has 72 divisors (see below), whose sum is σ = 197799840. Its totient is φ = 24303360.

The previous prime is 70890361. The next prime is 70890401. The reversal of 70890400 is 409807.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (70890401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 730 + ... + 11929.

It is an arithmetic number, because the mean of its divisors is an integer number (2747220).

Almost surely, 2^70890400 is an apocalyptic number.

70890400 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 70890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98899920).

70890400 is an abundant number, since it is smaller than the sum of its proper divisors (126909440).

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

70890400 is a wasteful number, since it uses less digits than its factorization.

70890400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12686 (or 12673 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 70890400 is about 8419.6436979245. The cubic root of 70890400 is about 413.8685977837.

The spelling of 70890400 in words is "seventy million, eight hundred ninety thousand, four hundred".