7938900 has 54 divisors (see below), whose sum is σ = 24886862. Its totient is φ = 2116800.

The previous prime is 7938893. The next prime is 7938907. The reversal of 7938900 is 98397.

It is an interprime number because it is at equal distance from previous prime (7938893) and next prime (7938907).

It can be written as a sum of positive squares in 3 ways, for example, as 777924 + 7160976 = 882^2 + 2676^2 .

It is a super-2 number, since 2×7938900² = 126052266420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7938907) 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 17 ways as a sum of consecutive naturals, for example, 3511 + ... + 5310.

Almost surely, 2^7938900 is an apocalyptic number.

It is an amenable number.

7938900 is an abundant number, since it is smaller than the sum of its proper divisors (16947962).

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

7938900 is a wasteful number, since it uses less digits than its factorization.

7938900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8841 (or 8831 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 7938900 is about 2817.6053662641. The cubic root of 7938900 is about 199.4895315516.

The spelling of 7938900 in words is "seven million, nine hundred thirty-eight thousand, nine hundred".