8397312000 has 832 divisors, whose sum is σ = 35328503808. Its totient is φ = 1720320000.

The previous prime is 8397311987. The next prime is 8397312017. The reversal of 8397312000 is 2137938.

It is a super-4 number, since 4×8397312000⁴ (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118271965 + ... + 118272035.

It is an arithmetic number, because the mean of its divisors is an integer number (42462144).

Almost surely, 2^8397312000 is an apocalyptic number.

8397312000 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 8397312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17664251904).

8397312000 is an abundant number, since it is smaller than the sum of its proper divisors (26931191808).

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

8397312000 is a wasteful number, since it uses less digits than its factorization.

8397312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 8397312000 is about 91636.8484835658. The cubic root of 8397312000 is about 2032.5758592741.

Adding to 8397312000 its reverse (2137938), we get a palindrome (8399449938).

The spelling of 8397312000 in words is "eight billion, three hundred ninety-seven million, three hundred twelve thousand".