7796736000 has 600 divisors, whose sum is σ = 29688474816. Its totient is φ = 2034892800.

The previous prime is 7796735981. The next prime is 7796736001. The reversal of 7796736000 is 6376977.

It is a tau number, because it is divible by the number of its divisors (600).

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 (7796736001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 165887977 + ... + 165888023.

Almost surely, 2^7796736000 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 7796736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14844237408).

7796736000 is an abundant number, since it is smaller than the sum of its proper divisors (21891738816).

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

7796736000 is an frugal number, since it uses more digits than its factorization.

7796736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

The square root of 7796736000 is about 88299.1279685139. The cubic root of 7796736000 is about 1982.9158141597.

The spelling of 7796736000 in words is "seven billion, seven hundred ninety-six million, seven hundred thirty-six thousand".