7676985600 has 540 divisors, whose sum is σ = 28981426320. Its totient is φ = 2004480000.

The previous prime is 7676985571. The next prime is 7676985611. The reversal of 7676985600 is 65896767.

It is a happy number.

7676985600 is a `hidden beast` number, since 7 + 6 + 76 + 9 + 8 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×7676985600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 59 ways as a sum of consecutive naturals, for example, 30585475 + ... + 30585725.

It is an arithmetic number, because the mean of its divisors is an integer number (53669308).

Almost surely, 2^7676985600 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 7676985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14490713160).

7676985600 is an abundant number, since it is smaller than the sum of its proper divisors (21304440720).

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

7676985600 is a wasteful number, since it uses less digits than its factorization.

7676985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 7676985600 is about 87618.4090245880. The cubic root of 7676985600 is about 1972.7114954879.

The spelling of 7676985600 in words is "seven billion, six hundred seventy-six million, nine hundred eighty-five thousand, six hundred".