814380600 has 192 divisors, whose sum is σ = 2774643840. Its totient is φ = 195955200.

The previous prime is 814380587. The next prime is 814380617. The reversal of 814380600 is 6083418.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1075422 + ... + 1076178.

It is an arithmetic number, because the mean of its divisors is an integer number (14451270).

Almost surely, 2^814380600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814380600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387321920).

814380600 is an abundant number, since it is smaller than the sum of its proper divisors (1960263240).

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

814380600 is a wasteful number, since it uses less digits than its factorization.

814380600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 814380600 is about 28537.3544674344. The cubic root of 814380600 is about 933.8471688761.

The spelling of 814380600 in words is "eight hundred fourteen million, three hundred eighty thousand, six hundred".