873278640 has 240 divisors, whose sum is σ = 3201045120. Its totient is φ = 212060160.

The previous prime is 873278621. The next prime is 873278669. The reversal of 873278640 is 46872378.

It is a happy number.

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 738850 + ... + 740030.

It is an arithmetic number, because the mean of its divisors is an integer number (13337688).

Almost surely, 2^873278640 is an apocalyptic number.

873278640 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 873278640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600522560).

873278640 is an abundant number, since it is smaller than the sum of its proper divisors (2327766480).

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

873278640 is a wasteful number, since it uses less digits than its factorization.

873278640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 873278640 is about 29551.2882967900. The cubic root of 873278640 is about 955.8379714079.

The spelling of 873278640 in words is "eight hundred seventy-three million, two hundred seventy-eight thousand, six hundred forty".