8796340800 has 840 divisors, whose sum is σ = 36494289216. Its totient is φ = 2061987840.

The previous prime is 8796340793. The next prime is 8796340807. The reversal of 8796340800 is 80436978.

It is a happy number.

8796340800 is a `hidden beast` number, since 8 + 7 + 9 + 634 + 0 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8796340793) and next prime (8796340807).

It is a super-2 number, since 2×8796340800² (a number of 21 digits) contains 22 as substring.

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 (8796340807) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 38750287 + ... + 38750513.

Almost surely, 2^8796340800 is an apocalyptic number.

8796340800 is a gapful number since it is divisible by the number (80) 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 8796340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18247144608).

8796340800 is an abundant number, since it is smaller than the sum of its proper divisors (27697948416).

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

8796340800 is a wasteful number, since it uses less digits than its factorization.

8796340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 8796340800 is about 93788.8095670267. The cubic root of 8796340800 is about 2064.2740306795.

The spelling of 8796340800 in words is "eight billion, seven hundred ninety-six million, three hundred forty thousand, eight hundred".