8318772000 has 576 divisors, whose sum is σ = 36820562688. Its totient is φ = 1728000000.

The previous prime is 8318771987. The next prime is 8318772037. The reversal of 8318772000 is 2778138.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2770500 + ... + 2773500.

It is an arithmetic number, because the mean of its divisors is an integer number (63924588).

Almost surely, 2^8318772000 is an apocalyptic number.

8318772000 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 8318772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18410281344).

8318772000 is an abundant number, since it is smaller than the sum of its proper divisors (28501790688).

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

8318772000 is a wasteful number, since it uses less digits than its factorization.

8318772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3050 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 8318772000 is about 91207.3023392316. The cubic root of 8318772000 is about 2026.2191104477.

The spelling of 8318772000 in words is "eight billion, three hundred eighteen million, seven hundred seventy-two thousand".