7985100 has 72 divisors (see below), whose sum is σ = 23679040. Its totient is φ = 2076480.

The previous prime is 7985099. The next prime is 7985101. The reversal of 7985100 is 15897.

It is an interprime number because it is at equal distance from previous prime (7985099) and next prime (7985101).

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

It is not an unprimeable number, because it can be changed into a prime (7985101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12591 + ... + 13209.

Almost surely, 2^7985100 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 7985100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11839520).

7985100 is an abundant number, since it is smaller than the sum of its proper divisors (15693940).

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

7985100 is a wasteful number, since it uses less digits than its factorization.

7985100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 7985100 is about 2825.7919243992. The cubic root of 7985100 is about 199.8757561667.

The spelling of 7985100 in words is "seven million, nine hundred eighty-five thousand, one hundred".