8097398400 has 1152 divisors, whose sum is σ = 35552010240. Its totient is φ = 1581465600.

The previous prime is 8097398399. The next prime is 8097398437. The reversal of 8097398400 is 48937908.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8097398400.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 261206385 + ... + 261206415.

It is an arithmetic number, because the mean of its divisors is an integer number (30861120).

Almost surely, 2^8097398400 is an apocalyptic number.

8097398400 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 8097398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17776005120).

8097398400 is an abundant number, since it is smaller than the sum of its proper divisors (27454611840).

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

8097398400 is a wasteful number, since it uses less digits than its factorization.

8097398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 8097398400 is about 89985.5455059311. The cubic root of 8097398400 is about 2008.0838152768.

The spelling of 8097398400 in words is "eight billion, ninety-seven million, three hundred ninety-eight thousand, four hundred".