84800000400 has 120 divisors (see below), whose sum is σ = 271731744960. Its totient is φ = 22605918720.

The previous prime is 84800000399. The next prime is 84800000407. The reversal of 84800000400 is 400000848.

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

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (84800000407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4325821 + ... + 4345379.

It is an arithmetic number, because the mean of its divisors is an integer number (2264431208).

Almost surely, 2^84800000400 is an apocalyptic number.

84800000400 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 84800000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135865872480).

84800000400 is an abundant number, since it is smaller than the sum of its proper divisors (186931744560).

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

84800000400 is a wasteful number, since it uses less digits than its factorization.

84800000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23193 (or 23182 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 84800000400 in words is "eighty-four billion, eight hundred million, four hundred", and thus it is an aban number.