873838080 has 480 divisors, whose sum is σ = 3378158784. Its totient is φ = 207618048.

The previous prime is 873838073. The next prime is 873838081. The reversal of 873838080 is 80838378.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (873838081) 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 47 ways as a sum of consecutive naturals, for example, 9008592 + ... + 9008688.

Almost surely, 2^873838080 is an apocalyptic number.

873838080 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 873838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689079392).

873838080 is an abundant number, since it is smaller than the sum of its proper divisors (2504320704).

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

873838080 is a wasteful number, since it uses less digits than its factorization.

873838080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 873838080 is about 29560.7523584905. The cubic root of 873838080 is about 956.0420375649.

The spelling of 873838080 in words is "eight hundred seventy-three million, eight hundred thirty-eight thousand, eighty".