8714798400 has 1344 divisors, whose sum is σ = 40274565120. Its totient is φ = 1592524800.

The previous prime is 8714798377. The next prime is 8714798431. The reversal of 8714798400 is 48974178.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×8714798400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8714798400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 119380764 + ... + 119380836.

Almost surely, 2^8714798400 is an apocalyptic number.

8714798400 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 8714798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20137282560).

8714798400 is an abundant number, since it is smaller than the sum of its proper divisors (31559766720).

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

8714798400 is a wasteful number, since it uses less digits than its factorization.

8714798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The square root of 8714798400 is about 93353.0845767830. The cubic root of 8714798400 is about 2057.8755866427.

The spelling of 8714798400 in words is "eight billion, seven hundred fourteen million, seven hundred ninety-eight thousand, four hundred".