155878800 has 360 divisors, whose sum is σ = 636289632. Its totient is φ = 32256000.

The previous prime is 155878787. The next prime is 155878813. The reversal of 155878800 is 8878551.

It is an interprime number because it is at equal distance from previous prime (155878787) and next prime (155878813).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 646680 + ... + 646920.

Almost surely, 2^155878800 is an apocalyptic number.

155878800 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 155878800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318144816).

155878800 is an abundant number, since it is smaller than the sum of its proper divisors (480410832).

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

155878800 is a wasteful number, since it uses less digits than its factorization.

155878800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 42.

The square root of 155878800 is about 12485.1431709853. The cubic root of 155878800 is about 538.1818136856.

The spelling of 155878800 in words is "one hundred fifty-five million, eight hundred seventy-eight thousand, eight hundred".