867976320 has 128 divisors (see below), whose sum is σ = 2812409280. Its totient is φ = 227635200.

The previous prime is 867976309. The next prime is 867976331. The reversal of 867976320 is 23679768.

It is an interprime number because it is at equal distance from previous prime (867976309) and next prime (867976331).

It is a tau number, because it is divible by the number of its divisors (128).

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 867976320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113415 + ... + 120825.

Almost surely, 2^867976320 is an apocalyptic number.

867976320 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 867976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406204640).

867976320 is an abundant number, since it is smaller than the sum of its proper divisors (1944432960).

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

867976320 is a wasteful number, since it uses less digits than its factorization.

867976320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7494 (or 7482 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 867976320 is about 29461.4378467854. The cubic root of 867976320 is about 953.8995099159.

The spelling of 867976320 in words is "eight hundred sixty-seven million, nine hundred seventy-six thousand, three hundred twenty".