877340100 has 216 divisors, whose sum is σ = 3180713088. Its totient is φ = 185068800.

The previous prime is 877340077. The next prime is 877340119. The reversal of 877340100 is 1043778.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 188805 + ... + 193395.

Almost surely, 2^877340100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 877340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590356544).

877340100 is an abundant number, since it is smaller than the sum of its proper divisors (2303372988).

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

877340100 is a wasteful number, since it uses less digits than its factorization.

877340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4635 (or 4621 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 877340100 is about 29619.9274138206. The cubic root of 877340100 is about 957.3174895906.

Adding to 877340100 its reverse (1043778), we get a palindrome (878383878).

The spelling of 877340100 in words is "eight hundred seventy-seven million, three hundred forty thousand, one hundred".