873740736 has 224 divisors, whose sum is σ = 2869996800. Its totient is φ = 258370560.

The previous prime is 873740731. The next prime is 873740753. The reversal of 873740736 is 637047378.

It is a junction number, because it is equal to n+sod(n) for n = 873740691 and 873740700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (873740731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 816810 + ... + 817878.

Almost surely, 2^873740736 is an apocalyptic number.

873740736 is a gapful number since it is divisible by the number (86) 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 873740736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434998400).

873740736 is an abundant number, since it is smaller than the sum of its proper divisors (1996256064).

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

873740736 is a wasteful number, since it uses less digits than its factorization.

873740736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The square root of 873740736 is about 29559.1058051491. The cubic root of 873740736 is about 956.0065357886.

The spelling of 873740736 in words is "eight hundred seventy-three million, seven hundred forty thousand, seven hundred thirty-six".