860428800 has 720 divisors, whose sum is σ = 3878626752. Its totient is φ = 176947200.

The previous prime is 860428763. The next prime is 860428817. The reversal of 860428800 is 8824068.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8870352 + ... + 8870448.

Almost surely, 2^860428800 is an apocalyptic number.

860428800 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 860428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939313376).

860428800 is an abundant number, since it is smaller than the sum of its proper divisors (3018197952).

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

860428800 is a wasteful number, since it uses less digits than its factorization.

860428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 860428800 is about 29333.0666654545. The cubic root of 860428800 is about 951.1265674905.

The spelling of 860428800 in words is "eight hundred sixty million, four hundred twenty-eight thousand, eight hundred".