8727296400 has 315 divisors, whose sum is σ = 31619378419. Its totient is φ = 2313826560.

The previous prime is 8727296381. The next prime is 8727296419. The reversal of 8727296400 is 46927278.

The square root of 8727296400 is 93420.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (8727296381) and next prime (8727296419).

It can be written as a sum of positive squares in 4 ways, for example, as 960752016 + 7766544384 = 30996^2 + 88128^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 50446714 + ... + 50446886.

Almost surely, 2^8727296400 is an apocalyptic number.

8727296400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8727296400 is the 93420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8727296400

8727296400 is an abundant number, since it is smaller than the sum of its proper divisors (22892082019).

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

8727296400 is an equidigital number, since it uses as much as digits as its factorization.

8727296400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The cubic root of 8727296400 is about 2058.8588583485.

The spelling of 8727296400 in words is "eight billion, seven hundred twenty-seven million, two hundred ninety-six thousand, four hundred".