873277440 has 384 divisors, whose sum is σ = 3321077760. Its totient is φ = 191692800.

The previous prime is 873277421. The next prime is 873277451. The reversal of 873277440 is 44772378.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×873277440² = 1525226974425907200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 873277392 and 873277401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6666175 + ... + 6666305.

It is an arithmetic number, because the mean of its divisors is an integer number (8648640).

Almost surely, 2^873277440 is an apocalyptic number.

873277440 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 873277440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660538880).

873277440 is an abundant number, since it is smaller than the sum of its proper divisors (2447800320).

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

873277440 is a wasteful number, since it uses less digits than its factorization.

873277440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 42.

The square root of 873277440 is about 29551.2679930997. The cubic root of 873277440 is about 955.8375335919.

The spelling of 873277440 in words is "eight hundred seventy-three million, two hundred seventy-seven thousand, four hundred forty".