155678400 has 252 divisors, whose sum is σ = 583463400. Its totient is φ = 39260160.

The previous prime is 155678399. The next prime is 155678417. The reversal of 155678400 is 4876551.

155678400 is a `hidden beast` number, since 15 + 567 + 84 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 273316 + ... + 273884.

Almost surely, 2^155678400 is an apocalyptic number.

155678400 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 155678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291731700).

155678400 is an abundant number, since it is smaller than the sum of its proper divisors (427785000).

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

155678400 is a wasteful number, since it uses less digits than its factorization.

155678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 155678400 is about 12477.1150511647. The cubic root of 155678400 is about 537.9510833853.

The spelling of 155678400 in words is "one hundred fifty-five million, six hundred seventy-eight thousand, four hundred".