867760920 has 288 divisors, whose sum is σ = 3237343200. Its totient is φ = 200798208.

The previous prime is 867760871. The next prime is 867760931. The reversal of 867760920 is 29067768.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1033861 + ... + 1034699.

It is an arithmetic number, because the mean of its divisors is an integer number (11240775).

Almost surely, 2^867760920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 867760920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618671600).

867760920 is an abundant number, since it is smaller than the sum of its proper divisors (2369582280).

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

867760920 is a wasteful number, since it uses less digits than its factorization.

867760920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 867760920 is about 29457.7819938976. The cubic root of 867760920 is about 953.8205957225.

The spelling of 867760920 in words is "eight hundred sixty-seven million, seven hundred sixty thousand, nine hundred twenty".