877680000 has 480 divisors, whose sum is σ = 3355363440. Its totient is φ = 219648000.

The previous prime is 877679963. The next prime is 877680007. The reversal of 877680000 is 86778.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (877680007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16559974 + ... + 16560026.

Almost surely, 2^877680000 is an apocalyptic number.

877680000 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 877680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677681720).

877680000 is an abundant number, since it is smaller than the sum of its proper divisors (2477683440).

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

877680000 is a wasteful number, since it uses less digits than its factorization.

877680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 877680000 is about 29625.6645495084. The cubic root of 877680000 is about 957.4411019360.

The spelling of 877680000 in words is "eight hundred seventy-seven million, six hundred eighty thousand".