7794864000 has 1536 divisors, whose sum is σ = 37730534400. Its totient is φ = 1492992000.

The previous prime is 7794863983. The next prime is 7794864041. The reversal of 7794864000 is 4684977.

It is a super-3 number, since 3×7794864000³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 210671982 + ... + 210672018.

It is an arithmetic number, because the mean of its divisors is an integer number (24564150).

Almost surely, 2^7794864000 is an apocalyptic number.

7794864000 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 7794864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18865267200).

7794864000 is an abundant number, since it is smaller than the sum of its proper divisors (29935670400).

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

7794864000 is a wasteful number, since it uses less digits than its factorization.

7794864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 7794864000 is about 88288.5270009643. The cubic root of 7794864000 is about 1982.7571017819.

The spelling of 7794864000 in words is "seven billion, seven hundred ninety-four million, eight hundred sixty-four thousand".