867870720 has 384 divisors, whose sum is σ = 3199996800. Its totient is φ = 222953472.

The previous prime is 867870719. The next prime is 867870721. The reversal of 867870720 is 27078768.

It is an interprime number because it is at equal distance from previous prime (867870719) and next prime (867870721).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (867870721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11888604 + ... + 11888676.

It is an arithmetic number, because the mean of its divisors is an integer number (8333325).

Almost surely, 2^867870720 is an apocalyptic number.

867870720 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 867870720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599998400).

867870720 is an abundant number, since it is smaller than the sum of its proper divisors (2332126080).

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

867870720 is a wasteful number, since it uses less digits than its factorization.

867870720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 867870720 is about 29459.6456190498. The cubic root of 867870720 is about 953.8608238092.

The spelling of 867870720 in words is "eight hundred sixty-seven million, eight hundred seventy thousand, seven hundred twenty".