8072400 has 180 divisors, whose sum is σ = 30536736. Its totient is φ = 1785600.

The previous prime is 8072357. The next prime is 8072417. The reversal of 8072400 is 42708.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 260385 + ... + 260415.

Almost surely, 2^8072400 is an apocalyptic number.

8072400 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 8072400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15268368).

8072400 is an abundant number, since it is smaller than the sum of its proper divisors (22464336).

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

8072400 is a wasteful number, since it uses less digits than its factorization.

8072400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 8072400 is about 2841.1969308726. The cubic root of 8072400 is about 200.6015223738.

Multiplying 8072400 by its sum of digits (21), we get a square (169520400 = 13020²).

8072400 divided by its sum of digits (21) gives a square (384400 = 620²).

The spelling of 8072400 in words is "eight million, seventy-two thousand, four hundred".