876150144 has 96 divisors (see below), whose sum is σ = 2529212400. Its totient is φ = 291124224.

The previous prime is 876150127. The next prime is 876150151. The reversal of 876150144 is 441051678.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 876150099 and 876150108.

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, 428677 + ... + 430715.

Almost surely, 2^876150144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 876150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264606200).

876150144 is an abundant number, since it is smaller than the sum of its proper divisors (1653062256).

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

876150144 is a wasteful number, since it uses less digits than its factorization.

876150144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 876150144 is about 29599.8335130453. The cubic root of 876150144 is about 956.8844833922.

The spelling of 876150144 in words is "eight hundred seventy-six million, one hundred fifty thousand, one hundred forty-four".