877981440 has 288 divisors, whose sum is σ = 3249469440. Its totient is φ = 197885952.

The previous prime is 877981397. The next prime is 877981441. The reversal of 877981440 is 44189778.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 877981440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (877981441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2392137 + ... + 2392503.

It is an arithmetic number, because the mean of its divisors is an integer number (11282880).

Almost surely, 2^877981440 is an apocalyptic number.

877981440 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 877981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624734720).

877981440 is an abundant number, since it is smaller than the sum of its proper divisors (2371488000).

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

877981440 is a wasteful number, since it uses less digits than its factorization.

877981440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The square root of 877981440 is about 29630.7515935725. The cubic root of 877981440 is about 957.5507007309.

The spelling of 877981440 in words is "eight hundred seventy-seven million, nine hundred eighty-one thousand, four hundred forty".