155832800 has 72 divisors (see below), whose sum is σ = 389787552. Its totient is φ = 60800000.

The previous prime is 155832779. The next prime is 155832823. The reversal of 155832800 is 8238551.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30425 + ... + 35175.

It is an arithmetic number, because the mean of its divisors is an integer number (5413716).

Almost surely, 2^155832800 is an apocalyptic number.

155832800 is a gapful number since it is divisible by the number (10) 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 155832800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194893776).

155832800 is an abundant number, since it is smaller than the sum of its proper divisors (233954752).

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

155832800 is a wasteful number, since it uses less digits than its factorization.

155832800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4812 (or 4799 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 155832800 is about 12483.3008455296. The cubic root of 155832800 is about 538.1288691350.

The spelling of 155832800 in words is "one hundred fifty-five million, eight hundred thirty-two thousand, eight hundred".