114778900 has 72 divisors (see below), whose sum is σ = 266607936. Its totient is φ = 42739200.

The previous prime is 114778877. The next prime is 114778903. The reversal of 114778900 is 9877411.

It is a self number, because there is not a number n which added to its sum of digits gives 114778900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114778903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181585 + ... + 182215.

It is an arithmetic number, because the mean of its divisors is an integer number (3702888).

Almost surely, 2^114778900 is an apocalyptic number.

114778900 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 114778900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133303968).

114778900 is an abundant number, since it is smaller than the sum of its proper divisors (151829036).

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

114778900 is a wasteful number, since it uses less digits than its factorization.

114778900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 37.

The square root of 114778900 is about 10713.4914943729. The cubic root of 114778900 is about 485.9825618789.

The spelling of 114778900 in words is "one hundred fourteen million, seven hundred seventy-eight thousand, nine hundred".