7660680300 has 720 divisors, whose sum is σ = 32230992640. Its totient is φ = 1528450560.

The previous prime is 7660680271. The next prime is 7660680329. The reversal of 7660680300 is 30860667.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7660680271) and next prime (7660680329).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 14004627 + ... + 14005173.

Almost surely, 2^7660680300 is an apocalyptic number.

7660680300 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 7660680300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16115496320).

7660680300 is an abundant number, since it is smaller than the sum of its proper divisors (24570312340).

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

7660680300 is a wasteful number, since it uses less digits than its factorization.

7660680300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 7660680300 is about 87525.3123387743. The cubic root of 7660680300 is about 1971.3138786908.

The spelling of 7660680300 in words is "seven billion, six hundred sixty million, six hundred eighty thousand, three hundred".