867062880 has 288 divisors, whose sum is σ = 3178375200. Its totient is φ = 222953472.

The previous prime is 867062857. The next prime is 867062893. The reversal of 867062880 is 88260768.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1127136 + ... + 1127904.

It is an arithmetic number, because the mean of its divisors is an integer number (11036025).

Almost surely, 2^867062880 is an apocalyptic number.

867062880 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 867062880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589187600).

867062880 is an abundant number, since it is smaller than the sum of its proper divisors (2311312320).

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

867062880 is a wasteful number, since it uses less digits than its factorization.

867062880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 867062880 is about 29445.9314676918. The cubic root of 867062880 is about 953.5647712126.

The spelling of 867062880 in words is "eight hundred sixty-seven million, sixty-two thousand, eight hundred eighty".