8795468400 has 120 divisors (see below), whose sum is σ = 28221110400. Its totient is φ = 2341605120.

The previous prime is 8795468399. The next prime is 8795468401. The reversal of 8795468400 is 48645978.

It is an interprime number because it is at equal distance from previous prime (8795468399) and next prime (8795468401).

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 (8795468401) 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, 765901 + ... + 777299.

It is an arithmetic number, because the mean of its divisors is an integer number (235175920).

Almost surely, 2^8795468400 is an apocalyptic number.

8795468400 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 8795468400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14110555200).

8795468400 is an abundant number, since it is smaller than the sum of its proper divisors (19425642000).

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

8795468400 is a wasteful number, since it uses less digits than its factorization.

8795468400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12063 (or 12052 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 8795468400 is about 93784.1585770220. The cubic root of 8795468400 is about 2064.2057851729.

The spelling of 8795468400 in words is "eight billion, seven hundred ninety-five million, four hundred sixty-eight thousand, four hundred".