7922400 has 72 divisors (see below), whose sum is σ = 25795224. Its totient is φ = 2112000.

The previous prime is 7922399. The next prime is 7922401. The reversal of 7922400 is 42297.

It is an interprime number because it is at equal distance from previous prime (7922399) and next prime (7922401).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7922401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 750 + ... + 4050.

It is an arithmetic number, because the mean of its divisors is an integer number (358267).

Almost surely, 2^7922400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7922400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12897612).

7922400 is an abundant number, since it is smaller than the sum of its proper divisors (17872824).

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

7922400 is a wasteful number, since it uses less digits than its factorization.

7922400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3324 (or 3311 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 7922400 is about 2814.6758250285. The cubic root of 7922400 is about 199.3512311035.

Adding to 7922400 its reverse (42297), we get a palindrome (7964697).

The spelling of 7922400 in words is "seven million, nine hundred twenty-two thousand, four hundred".