874380244800 has 168 divisors, whose sum is σ = 2883260879136. Its totient is φ = 231984220160.

The previous prime is 874380244741. The next prime is 874380244807. The reversal of 874380244800 is 8442083478.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 874380244800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (874380244807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 483259 + ... + 1407941.

Almost surely, 2^874380244800 is an apocalyptic number.

874380244800 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 874380244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441630439568).

874380244800 is an abundant number, since it is smaller than the sum of its proper divisors (2008880634336).

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

874380244800 is a wasteful number, since it uses less digits than its factorization.

874380244800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924905 (or 924890 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 48.

The spelling of 874380244800 in words is "eight hundred seventy-four billion, three hundred eighty million, two hundred forty-four thousand, eight hundred".