877461984 has 240 divisors, whose sum is σ = 2979190368. Its totient is φ = 248168448.

The previous prime is 877461929. The next prime is 877461989. The reversal of 877461984 is 489164778.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 877461984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (877461989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2485552 + ... + 2485904.

Almost surely, 2^877461984 is an apocalyptic number.

877461984 is a gapful number since it is divisible by the number (84) 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 877461984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489595184).

877461984 is an abundant number, since it is smaller than the sum of its proper divisors (2101728384).

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

877461984 is a wasteful number, since it uses less digits than its factorization.

877461984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 502 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 877461984 is about 29621.9848085843. The cubic root of 877461984 is about 957.3618191431.

The spelling of 877461984 in words is "eight hundred seventy-seven million, four hundred sixty-one thousand, nine hundred eighty-four".