873222480 has 240 divisors, whose sum is σ = 3268072080. Its totient is φ = 207470592.

The previous prime is 873222461. The next prime is 873222481. The reversal of 873222480 is 84222378.

It can be written as a sum of positive squares in 8 ways, for example, as 374544 + 872847936 = 612^2 + 29544^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (873222481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269832 + ... + 273048.

It is an arithmetic number, because the mean of its divisors is an integer number (13616967).

Almost surely, 2^873222480 is an apocalyptic number.

873222480 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 873222480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634036040).

873222480 is an abundant number, since it is smaller than the sum of its proper divisors (2394849600).

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

873222480 is a wasteful number, since it uses less digits than its factorization.

873222480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3278 (or 3269 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 873222480 is about 29550.3380691321. The cubic root of 873222480 is about 955.8174811891.

The spelling of 873222480 in words is "eight hundred seventy-three million, two hundred twenty-two thousand, four hundred eighty".