874356720 has 80 divisors (see below), whose sum is σ = 2718576000. Its totient is φ = 232467712.

The previous prime is 874356719. The next prime is 874356727. The reversal of 874356720 is 27653478.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (874356727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78031 + ... + 88529.

It is an arithmetic number, because the mean of its divisors is an integer number (33982200).

Almost surely, 2^874356720 is an apocalyptic number.

874356720 is a gapful number since it is divisible by the number (80) 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 874356720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359288000).

874356720 is an abundant number, since it is smaller than the sum of its proper divisors (1844219280).

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

874356720 is a wasteful number, since it uses less digits than its factorization.

874356720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10862 (or 10856 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 874356720 is about 29569.5234997117. The cubic root of 874356720 is about 956.2311433763.

The spelling of 874356720 in words is "eight hundred seventy-four million, three hundred fifty-six thousand, seven hundred twenty".