8315480400 has 120 divisors (see below), whose sum is σ = 26829428640. Its totient is φ = 2201464320.

The previous prime is 8315480377. The next prime is 8315480401. The reversal of 8315480400 is 40845138.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8315480401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141874 + ... + 191726.

It is an arithmetic number, because the mean of its divisors is an integer number (223578572).

Almost surely, 2^8315480400 is an apocalyptic number.

8315480400 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 8315480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13414714320).

8315480400 is an abundant number, since it is smaller than the sum of its proper divisors (18513948240).

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

8315480400 is a wasteful number, since it uses less digits than its factorization.

8315480400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50013 (or 50002 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 8315480400 is about 91189.2559460817. The cubic root of 8315480400 is about 2025.9518281017.

The spelling of 8315480400 in words is "eight billion, three hundred fifteen million, four hundred eighty thousand, four hundred".