84292800 has 168 divisors, whose sum is σ = 293101776. Its totient is φ = 21135360.

The previous prime is 84292787. The next prime is 84292807. The reversal of 84292800 is 829248.

It is a super-2 number, since 2×84292800² = 14210552263680000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (84292807) 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, 81084 + ... + 82116.

Almost surely, 2^84292800 is an apocalyptic number.

84292800 is a gapful number since it is divisible by the number (80) 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 84292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146550888).

84292800 is an abundant number, since it is smaller than the sum of its proper divisors (208808976).

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

84292800 is a wasteful number, since it uses less digits than its factorization.

84292800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 84292800 is about 9181.1110438770. Note that the first 3 decimals coincide. The cubic root of 84292800 is about 438.4601823004.

The spelling of 84292800 in words is "eighty-four million, two hundred ninety-two thousand, eight hundred".