877007040 has 224 divisors, whose sum is σ = 3427415040. Its totient is φ = 185020416.

The previous prime is 877007039. The next prime is 877007051. The reversal of 877007040 is 40700778.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 877006992 and 877007010.

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, 82341 + ... + 92379.

It is an arithmetic number, because the mean of its divisors is an integer number (15300960).

Almost surely, 2^877007040 is an apocalyptic number.

877007040 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 877007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713707520).

877007040 is an abundant number, since it is smaller than the sum of its proper divisors (2550408000).

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

877007040 is a wasteful number, since it uses less digits than its factorization.

877007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10079 (or 10069 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 33.

The square root of 877007040 is about 29614.3046516375. The cubic root of 877007040 is about 957.1963337931.

The spelling of 877007040 in words is "eight hundred seventy-seven million, seven thousand, forty".