7982400 has 84 divisors (see below), whose sum is σ = 26204672. Its totient is φ = 2127360.

The previous prime is 7982329. The next prime is 7982423. The reversal of 7982400 is 42897.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 3969 + ... + 5631.

Almost surely, 2^7982400 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 7982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13102336).

7982400 is an abundant number, since it is smaller than the sum of its proper divisors (18222272).

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

7982400 is a wasteful number, since it uses less digits than its factorization.

7982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 7982400 is about 2825.3141418256. The cubic root of 7982400 is about 199.8532256461.

The spelling of 7982400 in words is "seven million, nine hundred eighty-two thousand, four hundred".