873380820 has 96 divisors (see below), whose sum is σ = 2724462720. Its totient is φ = 207567360.

The previous prime is 873380803. The next prime is 873380821. The reversal of 873380820 is 28083378.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (873380821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3315 + ... + 41925.

It is an arithmetic number, because the mean of its divisors is an integer number (28379820).

Almost surely, 2^873380820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 873380820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362231360).

873380820 is an abundant number, since it is smaller than the sum of its proper divisors (1851081900).

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

873380820 is a wasteful number, since it uses less digits than its factorization.

873380820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38665 (or 38663 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 873380820 is about 29553.0171048575. The cubic root of 873380820 is about 955.8752499695.

The spelling of 873380820 in words is "eight hundred seventy-three million, three hundred eighty thousand, eight hundred twenty".