877677120 has 168 divisors, whose sum is σ = 3130929984. Its totient is φ = 234026496.

The previous prime is 877677103. The next prime is 877677133. The reversal of 877677120 is 21776778.

It is a happy number.

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, 72117 + ... + 83403.

It is an arithmetic number, because the mean of its divisors is an integer number (18636488).

Almost surely, 2^877677120 is an apocalyptic number.

877677120 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 877677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565464992).

877677120 is an abundant number, since it is smaller than the sum of its proper divisors (2253252864).

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

877677120 is a wasteful number, since it uses less digits than its factorization.

877677120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11319 (or 11297 counting only the distinct ones).

The product of its (nonzero) digits is 230496, while the sum is 45.

The square root of 877677120 is about 29625.6159429640. The cubic root of 877677120 is about 957.4400546928.

The spelling of 877677120 in words is "eight hundred seventy-seven million, six hundred seventy-seven thousand, one hundred twenty".