8120400 has 120 divisors (see below), whose sum is σ = 26661984. Its totient is φ = 2112000.

The previous prime is 8120393. The next prime is 8120459. The reversal of 8120400 is 40218.

8120400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 8120400.

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, 80350 + ... + 80450.

Almost surely, 2^8120400 is an apocalyptic number.

8120400 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 8120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13330992).

8120400 is an abundant number, since it is smaller than the sum of its proper divisors (18541584).

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

8120400 is a wasteful number, since it uses less digits than its factorization.

8120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 8120400 is about 2849.6315551313. The cubic root of 8120400 is about 200.9983416115.

Adding to 8120400 its reverse (40218), we get a palindrome (8160618).

The spelling of 8120400 in words is "eight million, one hundred twenty thousand, four hundred".