8305606400 has 324 divisors, whose sum is σ = 25463963952. Its totient is φ = 2626191360.

The previous prime is 8305606399. The next prime is 8305606433. The reversal of 8305606400 is 46065038.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7570652 + ... + 7571748.

Almost surely, 2^8305606400 is an apocalyptic number.

8305606400 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 8305606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12731981976).

8305606400 is an abundant number, since it is smaller than the sum of its proper divisors (17158357552).

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

8305606400 is a wasteful number, since it uses less digits than its factorization.

8305606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 8305606400 is about 91135.0997146544. The cubic root of 8305606400 is about 2025.1496226385.

The spelling of 8305606400 in words is "eight billion, three hundred five million, six hundred six thousand, four hundred".