876765120 has 448 divisors, whose sum is σ = 3599078400. Its totient is φ = 175472640.

The previous prime is 876765107. The next prime is 876765133. The reversal of 876765120 is 21567678.

It is an interprime number because it is at equal distance from previous prime (876765107) and next prime (876765133).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×876765120² = 1537434151297228800, which contains 22 as substring.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2143476 + ... + 2143884.

Almost surely, 2^876765120 is an apocalyptic number.

876765120 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 876765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799539200).

876765120 is an abundant number, since it is smaller than the sum of its proper divisors (2722313280).

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

876765120 is a wasteful number, since it uses less digits than its factorization.

876765120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 876765120 is about 29610.2198573398. The cubic root of 876765120 is about 957.1083123664.

The spelling of 876765120 in words is "eight hundred seventy-six million, seven hundred sixty-five thousand, one hundred twenty".