873577440 has 384 divisors, whose sum is σ = 3338496000. Its totient is φ = 212502528.

The previous prime is 873577417. The next prime is 873577451. The reversal of 873577440 is 44775378.

873577440 is a `hidden beast` number, since 8 + 73 + 577 + 4 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2380137 + ... + 2380503.

It is an arithmetic number, because the mean of its divisors is an integer number (8694000).

Almost surely, 2^873577440 is an apocalyptic number.

873577440 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 873577440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669248000).

873577440 is an abundant number, since it is smaller than the sum of its proper divisors (2464918560).

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

873577440 is a wasteful number, since it uses less digits than its factorization.

873577440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The square root of 873577440 is about 29556.3434815608. The cubic root of 873577440 is about 955.9469751114.

The spelling of 873577440 in words is "eight hundred seventy-three million, five hundred seventy-seven thousand, four hundred forty".