116776000 has 112 divisors (see below), whose sum is σ = 315724032. Its totient is φ = 42432000.

The previous prime is 116775973. The next prime is 116776057. The reversal of 116776000 is 677611.

It is a self number, because there is not a number n which added to its sum of digits gives 116776000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87337 + ... + 88663.

Almost surely, 2^116776000 is an apocalyptic number.

116776000 is a gapful number since it is divisible by the number (10) 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 116776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157862016).

116776000 is an abundant number, since it is smaller than the sum of its proper divisors (198948032).

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

116776000 is a wasteful number, since it uses less digits than its factorization.

116776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 116776000 is about 10806.2944620254. The cubic root of 116776000 is about 488.7849947580.

The spelling of 116776000 in words is "one hundred sixteen million, seven hundred seventy-six thousand".