7679874900 has 144 divisors (see below), whose sum is σ = 23371504128. Its totient is φ = 1944384000.

The previous prime is 7679874887. The next prime is 7679874913. The reversal of 7679874900 is 94789767.

It is an interprime number because it is at equal distance from previous prime (7679874887) and next prime (7679874913).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485110 + ... + 500690.

It is an arithmetic number, because the mean of its divisors is an integer number (162302112).

Almost surely, 2^7679874900 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 7679874900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11685752064).

7679874900 is an abundant number, since it is smaller than the sum of its proper divisors (15691629228).

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

7679874900 is a wasteful number, since it uses less digits than its factorization.

7679874900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15682 (or 15675 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 57.

The square root of 7679874900 is about 87634.8954469622. The cubic root of 7679874900 is about 1972.9589467975.

The spelling of 7679874900 in words is "seven billion, six hundred seventy-nine million, eight hundred seventy-four thousand, nine hundred".