8305970400 has 648 divisors, whose sum is σ = 36711884664. Its totient is φ = 1751500800.

The previous prime is 8305970371. The next prime is 8305970447. The reversal of 8305970400 is 40795038.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4585495 + ... + 4587305.

It is an arithmetic number, because the mean of its divisors is an integer number (56654143).

Almost surely, 2^8305970400 is an apocalyptic number.

8305970400 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 8305970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18355942332).

8305970400 is an abundant number, since it is smaller than the sum of its proper divisors (28405914264).

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

8305970400 is a wasteful number, since it uses less digits than its factorization.

8305970400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 8305970400 is about 91137.0967279516. The cubic root of 8305970400 is about 2025.1792068197.

The spelling of 8305970400 in words is "eight billion, three hundred five million, nine hundred seventy thousand, four hundred".