867438720 has 320 divisors, whose sum is σ = 3210154200. Its totient is φ = 222953472.

The previous prime is 867438701. The next prime is 867438739. The reversal of 867438720 is 27834768.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (867438701) and next prime (867438739).

It can be written as a sum of positive squares in 4 ways, for example, as 858724416 + 8714304 = 29304^2 + 2952^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×867438720³ (a number of 28 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1503072 + ... + 1503648.

Almost surely, 2^867438720 is an apocalyptic number.

867438720 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 867438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605077100).

867438720 is an abundant number, since it is smaller than the sum of its proper divisors (2342715480).

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

867438720 is a wasteful number, since it uses less digits than its factorization.

867438720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 867438720 is about 29452.3126426432. The cubic root of 867438720 is about 953.7025297772.

The spelling of 867438720 in words is "eight hundred sixty-seven million, four hundred thirty-eight thousand, seven hundred twenty".