7676928000 has 1008 divisors, whose sum is σ = 34088566824. Its totient is φ = 1651507200.

The previous prime is 7676927989. The next prime is 7676928001. The reversal of 7676928000 is 8296767.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3339915264 + 4337012736 = 57792^2 + 65856^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7676928001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 451583992 + ... + 451584008.

Almost surely, 2^7676928000 is an apocalyptic number.

7676928000 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 7676928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17044283412).

7676928000 is an abundant number, since it is smaller than the sum of its proper divisors (26411638824).

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

7676928000 is a wasteful number, since it uses less digits than its factorization.

7676928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 7676928000 is about 87618.0803259236. The cubic root of 7676928000 is about 1972.7065617603.

The spelling of 7676928000 in words is "seven billion, six hundred seventy-six million, nine hundred twenty-eight thousand".