874050768 has 120 divisors (see below), whose sum is σ = 2601187680. Its totient is φ = 273196800.

The previous prime is 874050763. The next prime is 874050817. The reversal of 874050768 is 867050478.

874050768 is a `hidden beast` number, since 87 + 4 + 0 + 507 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (874050763) 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 23 ways as a sum of consecutive naturals, for example, 274755 + ... + 277917.

It is an arithmetic number, because the mean of its divisors is an integer number (21676564).

Almost surely, 2^874050768 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 874050768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300593840).

874050768 is an abundant number, since it is smaller than the sum of its proper divisors (1727136912).

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

874050768 is a wasteful number, since it uses less digits than its factorization.

874050768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3297 (or 3288 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 874050768 is about 29564.3496123287. The cubic root of 874050768 is about 956.1195966225.

The spelling of 874050768 in words is "eight hundred seventy-four million, fifty thousand, seven hundred sixty-eight".