7942400 has 108 divisors (see below), whose sum is σ = 21100212. Its totient is φ = 2949120.

The previous prime is 7942387. The next prime is 7942411. The reversal of 7942400 is 42497.

It can be written as a sum of positive squares in 6 ways, for example, as 12544 + 7929856 = 112^2 + 2816^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7942400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108764 + ... + 108836.

Almost surely, 2^7942400 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 7942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10550106).

7942400 is an abundant number, since it is smaller than the sum of its proper divisors (13157812).

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

7942400 is a wasteful number, since it uses less digits than its factorization.

7942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 7942400 is about 2818.2263926094. The cubic root of 7942400 is about 199.5188433698.

Adding to 7942400 its reverse (42497), we get a palindrome (7984897).

The spelling of 7942400 in words is "seven million, nine hundred forty-two thousand, four hundred".