8712000 has 252 divisors, whose sum is σ = 34254948. Its totient is φ = 2112000.

The previous prime is 8711987. The next prime is 8712017. The reversal of 8712000 is 2178.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 278784 + 8433216 = 528^2 + 2904^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 791995 + ... + 792005.

Almost surely, 2^8712000 is an apocalyptic number.

8712000 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 8712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17127474).

8712000 is an abundant number, since it is smaller than the sum of its proper divisors (25542948).

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

8712000 is a wasteful number, since it uses less digits than its factorization.

8712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 8712000 is about 2951.6097302997. The cubic root of 8712000 is about 205.7655295620.

Adding to 8712000 its reverse (2178), we get a palindrome (8714178).

The spelling of 8712000 in words is "eight million, seven hundred twelve thousand".