70828800 has 432 divisors, whose sum is σ = 291981312. Its totient is φ = 14745600.

The previous prime is 70828787. The next prime is 70828801. The reversal of 70828800 is 882807.

It is not an unprimeable number, because it can be changed into a prime (70828801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2284785 + ... + 2284815.

Almost surely, 2^70828800 is an apocalyptic number.

70828800 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 70828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145990656).

70828800 is an abundant number, since it is smaller than the sum of its proper divisors (221152512).

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

70828800 is a wasteful number, since it uses less digits than its factorization.

70828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 70828800 is about 8415.9847908608. The cubic root of 70828800 is about 413.7486864201.

The spelling of 70828800 in words is "seventy million, eight hundred twenty-eight thousand, eight hundred".