8709212400 has 480 divisors, whose sum is σ = 33854261760. Its totient is φ = 1869557760.

The previous prime is 8709212399. The next prime is 8709212441. The reversal of 8709212400 is 42129078.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31441062 + ... + 31441338.

It is an arithmetic number, because the mean of its divisors is an integer number (70529712).

Almost surely, 2^8709212400 is an apocalyptic number.

8709212400 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 8709212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16927130880).

8709212400 is an abundant number, since it is smaller than the sum of its proper divisors (25145049360).

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

8709212400 is a wasteful number, since it uses less digits than its factorization.

8709212400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 8709212400 is about 93323.1611123412. The cubic root of 8709212400 is about 2057.4358078721.

The spelling of 8709212400 in words is "eight billion, seven hundred nine million, two hundred twelve thousand, four hundred".