7896268800 has 960 divisors, whose sum is σ = 35398337040. Its totient is φ = 1698693120.

The previous prime is 7896268789. The next prime is 7896268823. The reversal of 7896268800 is 88626987.

7896268800 is a `hidden beast` number, since 7 + 8 + 9 + 626 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 464486392 + ... + 464486408.

Almost surely, 2^7896268800 is an apocalyptic number.

7896268800 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 7896268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17699168520).

7896268800 is an abundant number, since it is smaller than the sum of its proper divisors (27502068240).

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

7896268800 is an equidigital number, since it uses as much as digits as its factorization.

7896268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 7896268800 is about 88860.9520543191. The cubic root of 7896268800 is about 1991.3181001745.

The spelling of 7896268800 in words is "seven billion, eight hundred ninety-six million, two hundred sixty-eight thousand, eight hundred".