7680417900 has 144 divisors (see below), whose sum is σ = 22741544448. Its totient is φ = 2000768000.

The previous prime is 7680417893. The next prime is 7680417917. The reversal of 7680417900 is 97140867.

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, 2405305 + ... + 2408495.

It is an arithmetic number, because the mean of its divisors is an integer number (157927392).

Almost surely, 2^7680417900 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 7680417900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11370772224).

7680417900 is an abundant number, since it is smaller than the sum of its proper divisors (15061126548).

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

7680417900 is a wasteful number, since it uses less digits than its factorization.

7680417900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3392 (or 3385 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 7680417900 is about 87637.9934731507. The cubic root of 7680417900 is about 1973.0054445801.

The spelling of 7680417900 in words is "seven billion, six hundred eighty million, four hundred seventeen thousand, nine hundred".