8795606400 has 384 divisors, whose sum is σ = 36790502400. Its totient is φ = 2010286080.

The previous prime is 8795606389. The next prime is 8795606431. The reversal of 8795606400 is 46065978.

8795606400 is a `hidden beast` number, since 87 + 9 + 560 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 597529 + ... + 612071.

It is an arithmetic number, because the mean of its divisors is an integer number (95808600).

Almost surely, 2^8795606400 is an apocalyptic number.

8795606400 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 8795606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18395251200).

8795606400 is an abundant number, since it is smaller than the sum of its proper divisors (27994896000).

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

8795606400 is a wasteful number, since it uses less digits than its factorization.

8795606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14583 (or 14560 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 8795606400 is about 93784.8943060662. The cubic root of 8795606400 is about 2064.2165808423.

The spelling of 8795606400 in words is "eight billion, seven hundred ninety-five million, six hundred six thousand, four hundred".