84790947200 has 96 divisors (see below), whose sum is σ = 209651224320. Its totient is φ = 33885440000.

The previous prime is 84790947187. The next prime is 84790947211. The reversal of 84790947200 is 274909748.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3671690 + ... + 3694710.

It is an arithmetic number, because the mean of its divisors is an integer number (2183866920).

Almost surely, 2^84790947200 is an apocalyptic number.

84790947200 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 84790947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104825612160).

84790947200 is an abundant number, since it is smaller than the sum of its proper divisors (124860277120).

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

84790947200 is a wasteful number, since it uses less digits than its factorization.

84790947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24196 (or 24179 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 50.

The spelling of 84790947200 in words is "eighty-four billion, seven hundred ninety million, nine hundred forty-seven thousand, two hundred".