7950400 has 42 divisors (see below), whose sum is σ = 19566890. Its totient is φ = 3179520.

The previous prime is 7950391. The next prime is 7950403. The reversal of 7950400 is 40597.

It can be written as a sum of positive squares in 3 ways, for example, as 65536 + 7884864 = 256^2 + 2808^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (7950403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 885 + ... + 4084.

Almost surely, 2^7950400 is an apocalyptic number.

It is an amenable number.

7950400 is an abundant number, since it is smaller than the sum of its proper divisors (11616490).

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

7950400 is a wasteful number, since it uses less digits than its factorization.

7950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4991 (or 4976 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 7950400 is about 2819.6453677723. The cubic root of 7950400 is about 199.5858094899.

Adding to 7950400 its reverse (40597), we get a palindrome (7990997).

The spelling of 7950400 in words is "seven million, nine hundred fifty thousand, four hundred".