8306390400 has 768 divisors, whose sum is σ = 36171256320. Its totient is φ = 1622016000.

The previous prime is 8306390353. The next prime is 8306390441. The reversal of 8306390400 is 40936038.

It is a super-2 number, since 2×8306390400² (a number of 21 digits) contains 22 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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12566070 + ... + 12566730.

It is an arithmetic number, because the mean of its divisors is an integer number (47097990).

Almost surely, 2^8306390400 is an apocalyptic number.

8306390400 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 8306390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18085628160).

8306390400 is an abundant number, since it is smaller than the sum of its proper divisors (27864865920).

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

8306390400 is a wasteful number, since it uses less digits than its factorization.

8306390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 8306390400 is about 91139.4009196901. The cubic root of 8306390400 is about 2025.2133413394.

The spelling of 8306390400 in words is "eight billion, three hundred six million, three hundred ninety thousand, four hundred".