7660800000 has 864 divisors, whose sum is σ = 33269745600. Its totient is φ = 1658880000.

The previous prime is 7660799987. The next prime is 7660800029. The reversal of 7660800000 is 80667.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 403199991 + ... + 403200009.

It is an arithmetic number, because the mean of its divisors is an integer number (38506650).

Almost surely, 2^7660800000 is an apocalyptic number.

7660800000 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 7660800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16634872800).

7660800000 is an abundant number, since it is smaller than the sum of its proper divisors (25608945600).

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

7660800000 is an equidigital number, since it uses as much as digits as its factorization.

7660800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 7660800000 is about 87525.9961382903. The cubic root of 7660800000 is about 1971.3241460576.

Adding to 7660800000 its reverse (80667), we get a palindrome (7660880667).

The spelling of 7660800000 in words is "seven billion, six hundred sixty million, eight hundred thousand".