14077700 has 162 divisors, whose sum is σ = 40743486. Its totient is φ = 4193280.

The previous prime is 14077699. The next prime is 14077703. The reversal of 14077700 is 777041.

14077700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 6927424 + 7150276 = 2632^2 + 2674^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 14077700.

It is not an unprimeable number, because it can be changed into a prime (14077703) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 828092 + ... + 828108.

It is an arithmetic number, because the mean of its divisors is an integer number (251503).

Almost surely, 2^14077700 is an apocalyptic number.

14077700 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 14077700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20371743).

14077700 is an abundant number, since it is smaller than the sum of its proper divisors (26665786).

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

14077700 is a wasteful number, since it uses less digits than its factorization.

14077700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 26.

The square root of 14077700 is about 3752.0261193121. The cubic root of 14077700 is about 241.4592803992.

The spelling of 14077700 in words is "fourteen million, seventy-seven thousand, seven hundred".