7680059904 has 160 divisors (see below), whose sum is σ = 23291794944. Its totient is φ = 2225991680.

The previous prime is 7680059899. The next prime is 7680059909. The reversal of 7680059904 is 4099500867.

It is an interprime number because it is at equal distance from previous prime (7680059899) and next prime (7680059909).

It is a Harshad number since it is a multiple of its sum of digits (48).

7680059904 is a modest number, since divided by 59904 gives 7680 as remainder.

It is not an unprimeable number, because it can be changed into a prime (7680059909) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378727 + ... + 398489.

Almost surely, 2^7680059904 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 7680059904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11645897472).

7680059904 is an abundant number, since it is smaller than the sum of its proper divisors (15611735040).

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

7680059904 is a wasteful number, since it uses less digits than its factorization.

7680059904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19818 (or 19802 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 7680059904 is about 87635.9509790360. The cubic root of 7680059904 is about 1972.9747891722.

The spelling of 7680059904 in words is "seven billion, six hundred eighty million, fifty-nine thousand, nine hundred four".