874903680 has 320 divisors, whose sum is σ = 3572268480. Its totient is φ = 199895040.

The previous prime is 874903661. The next prime is 874903681. The reversal of 874903680 is 86309478.

It is a happy number.

874903680 is a `hidden beast` number, since 87 + 490 + 3 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (874903681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 361675 + ... + 364085.

It is an arithmetic number, because the mean of its divisors is an integer number (11163339).

Almost surely, 2^874903680 is an apocalyptic number.

874903680 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 874903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786134240).

874903680 is an abundant number, since it is smaller than the sum of its proper divisors (2697364800).

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

874903680 is a wasteful number, since it uses less digits than its factorization.

874903680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 874903680 is about 29578.7707655339. The cubic root of 874903680 is about 956.4304941876.

The spelling of 874903680 in words is "eight hundred seventy-four million, nine hundred three thousand, six hundred eighty".