873673920 has 504 divisors, whose sum is σ = 3604674528. Its totient is φ = 193536000.

The previous prime is 873673909. The next prime is 873673943. The reversal of 873673920 is 29376378.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×873673920² = 1526612236976332800, which contains 22 as substring.

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 5785845 + ... + 5785995.

It is an arithmetic number, because the mean of its divisors is an integer number (7152132).

Almost surely, 2^873673920 is an apocalyptic number.

873673920 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 873673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802337264).

873673920 is an abundant number, since it is smaller than the sum of its proper divisors (2731000608).

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

873673920 is a wasteful number, since it uses less digits than its factorization.

873673920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 873673920 is about 29557.9755734387. The cubic root of 873673920 is about 955.9821661793.

The spelling of 873673920 in words is "eight hundred seventy-three million, six hundred seventy-three thousand, nine hundred twenty".