70814400 has 84 divisors (see below), whose sum is σ = 232345992. Its totient is φ = 18882560.

The previous prime is 70814399. The next prime is 70814407. The reversal of 70814400 is 441807.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (70814407) 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, 2577 + ... + 12176.

Almost surely, 2^70814400 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 70814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116172996).

70814400 is an abundant number, since it is smaller than the sum of its proper divisors (161531592).

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

70814400 is a wasteful number, since it uses less digits than its factorization.

70814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14778 (or 14763 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 70814400 is about 8415.1292325192. The cubic root of 70814400 is about 413.7206451672.

The spelling of 70814400 in words is "seventy million, eight hundred fourteen thousand, four hundred".