8390400 has 216 divisors, whose sum is σ = 30414720. Its totient is φ = 2027520.

The previous prime is 8390399. The next prime is 8390413. The reversal of 8390400 is 40938.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 364789 + ... + 364811.

Almost surely, 2^8390400 is an apocalyptic number.

8390400 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 8390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15207360).

8390400 is an abundant number, since it is smaller than the sum of its proper divisors (22024320).

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

8390400 is a wasteful number, since it uses less digits than its factorization.

8390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 8390400 is about 2896.6187184371. The cubic root of 8390400 is about 203.2018021210.

The spelling of 8390400 in words is "eight million, three hundred ninety thousand, four hundred".