864814080 has 352 divisors, whose sum is σ = 3070303488. Its totient is φ = 206438400.

The previous prime is 864814057. The next prime is 864814103. The reversal of 864814080 is 80418468.

It is an interprime number because it is at equal distance from previous prime (864814057) and next prime (864814103).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12180445 + ... + 12180515.

Almost surely, 2^864814080 is an apocalyptic number.

864814080 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 864814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535151744).

864814080 is an abundant number, since it is smaller than the sum of its proper divisors (2205489408).

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

864814080 is a wasteful number, since it uses less digits than its factorization.

864814080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 864814080 is about 29407.7214350245. The cubic root of 864814080 is about 952.7396741883.

The spelling of 864814080 in words is "eight hundred sixty-four million, eight hundred fourteen thousand, eighty".