7984900 has 144 divisors (see below), whose sum is σ = 23248512. Its totient is φ = 2304000.

The previous prime is 7984897. The next prime is 7984901. The reversal of 7984900 is 94897.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 7984900.

It is not an unprimeable number, because it can be changed into a prime (7984901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130870 + ... + 130930.

It is an arithmetic number, because the mean of its divisors is an integer number (161448).

Almost surely, 2^7984900 is an apocalyptic number.

7984900 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7984900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11624256).

7984900 is an abundant number, since it is smaller than the sum of its proper divisors (15263612).

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

7984900 is a wasteful number, since it uses less digits than its factorization.

7984900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 7984900 is about 2825.7565358679. The cubic root of 7984900 is about 199.8740874134.

The spelling of 7984900 in words is "seven million, nine hundred eighty-four thousand, nine hundred".