855558400 has 108 divisors (see below), whose sum is σ = 2175476212. Its totient is φ = 332881920.

The previous prime is 855558359. The next prime is 855558409. The reversal of 855558400 is 4855558.

It can be written as a sum of positive squares in 6 ways, for example, as 72454144 + 783104256 = 8512^2 + 27984^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (855558409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 234994 + ... + 238606.

Almost surely, 2^855558400 is an apocalyptic number.

855558400 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 855558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087738106).

855558400 is an abundant number, since it is smaller than the sum of its proper divisors (1319917812).

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

855558400 is a wasteful number, since it uses less digits than its factorization.

855558400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3676 (or 3657 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 40.

The square root of 855558400 is about 29249.9299144459. The cubic root of 855558400 is about 949.3285745108.

The spelling of 855558400 in words is "eight hundred fifty-five million, five hundred fifty-eight thousand, four hundred".