877086720 has 288 divisors, whose sum is σ = 3148104960. Its totient is φ = 225607680.

The previous prime is 877086713. The next prime is 877086767. The reversal of 877086720 is 27680778.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×877086720² = 1538562228800716800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2856807 + ... + 2857113.

It is an arithmetic number, because the mean of its divisors is an integer number (10930920).

Almost surely, 2^877086720 is an apocalyptic number.

877086720 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 877086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574052480).

877086720 is an abundant number, since it is smaller than the sum of its proper divisors (2271018240).

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

877086720 is a wasteful number, since it uses less digits than its factorization.

877086720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 877086720 is about 29615.6499168936. The cubic root of 877086720 is about 957.2253214335.

It can be divided in two parts, 87 and 7086720, that added together give a palindrome (7086807).

The spelling of 877086720 in words is "eight hundred seventy-seven million, eighty-six thousand, seven hundred twenty".