855399600 has 180 divisors, whose sum is σ = 3238485432. Its totient is φ = 207360000.

The previous prime is 855399583. The next prime is 855399607. The reversal of 855399600 is 6993558.

855399600 is a `hidden beast` number, since 8 + 5 + 5 + 39 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (855399607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28800 + ... + 50400.

Almost surely, 2^855399600 is an apocalyptic number.

855399600 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 855399600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619242716).

855399600 is an abundant number, since it is smaller than the sum of its proper divisors (2383085832).

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

855399600 is a wasteful number, since it uses less digits than its factorization.

855399600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21636 (or 21622 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 855399600 is about 29247.2152520543. The cubic root of 855399600 is about 949.2698359896.

The spelling of 855399600 in words is "eight hundred fifty-five million, three hundred ninety-nine thousand, six hundred".