7825498400 has 36 divisors (see below), whose sum is σ = 19103999922. Its totient is φ = 3130199040.

The previous prime is 7825498391. The next prime is 7825498433. The reversal of 7825498400 is 48945287.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 6667049104 + 1158449296 = 81652^2 + 34036^2 .

It is a super-2 number, since 2×7825498400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4890137 + ... + 4891736.

Almost surely, 2^7825498400 is an apocalyptic number.

It is an amenable number.

7825498400 is an abundant number, since it is smaller than the sum of its proper divisors (11278501522).

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

7825498400 is a wasteful number, since it uses less digits than its factorization.

7825498400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9781893 (or 9781880 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The square root of 7825498400 is about 88461.8471432741. The cubic root of 7825498400 is about 1985.3511678134.

The spelling of 7825498400 in words is "seven billion, eight hundred twenty-five million, four hundred ninety-eight thousand, four hundred".