84748800 has 120 divisors (see below), whose sum is σ = 280089216. Its totient is φ = 22589440.

The previous prime is 84748789. The next prime is 84748831. The reversal of 84748800 is 884748.

It is a tau number, because it is divible by the number of its divisors (120).

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, 37297 + ... + 39503.

Almost surely, 2^84748800 is an apocalyptic number.

84748800 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 84748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140044608).

84748800 is an abundant number, since it is smaller than the sum of its proper divisors (195340416).

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

84748800 is a wasteful number, since it uses less digits than its factorization.

84748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 84748800 is about 9205.9111444767. The cubic root of 84748800 is about 439.2494090087.

The spelling of 84748800 in words is "eighty-four million, seven hundred forty-eight thousand, eight hundred".