150796800 has 720 divisors, whose sum is σ = 712400832. Its totient is φ = 29491200.

The previous prime is 150796771. The next prime is 150796801. The reversal of 150796800 is 8697051.

150796800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (150796801) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 8870392 + ... + 8870408.

Almost surely, 2^150796800 is an apocalyptic number.

150796800 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 150796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356200416).

150796800 is an abundant number, since it is smaller than the sum of its proper divisors (561604032).

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

150796800 is a wasteful number, since it uses less digits than its factorization.

150796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 150796800 is about 12279.9348532474. The cubic root of 150796800 is about 532.2684306876.

The spelling of 150796800 in words is "one hundred fifty million, seven hundred ninety-six thousand, eight hundred".