84400880 has 40 divisors (see below), whose sum is σ = 198052800. Its totient is φ = 33447168.

The previous prime is 84400871. The next prime is 84400909. The reversal of 84400880 is 8800448.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3881 + ... + 13559.

It is an arithmetic number, because the mean of its divisors is an integer number (4951320).

Almost surely, 2^84400880 is an apocalyptic number.

84400880 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 84400880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99026400).

84400880 is an abundant number, since it is smaller than the sum of its proper divisors (113651920).

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

84400880 is a wasteful number, since it uses less digits than its factorization.

84400880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9801 (or 9795 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 84400880 is about 9186.9951561977. The cubic root of 84400880 is about 438.6474997502.

The spelling of 84400880 in words is "eighty-four million, four hundred thousand, eight hundred eighty".