874348800 has 432 divisors, whose sum is σ = 3236126208. Its totient is φ = 206438400.

The previous prime is 874348751. The next prime is 874348801. The reversal of 874348800 is 8843478.

It is a super-2 number, since 2×874348800² = 1528971648122880000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (874348801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7737544 + ... + 7737656.

Almost surely, 2^874348800 is an apocalyptic number.

874348800 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 874348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618063104).

874348800 is an abundant number, since it is smaller than the sum of its proper divisors (2361777408).

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

874348800 is a wasteful number, since it uses less digits than its factorization.

874348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 874348800 is about 29569.3895777373. The cubic root of 874348800 is about 956.2282561590.

The spelling of 874348800 in words is "eight hundred seventy-four million, three hundred forty-eight thousand, eight hundred".