830019744 has 96 divisors (see below), whose sum is σ = 2480042880. Its totient is φ = 269913600.

The previous prime is 830019737. The next prime is 830019763. The reversal of 830019744 is 447910038.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 830019699 and 830019708.

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, 23709 + ... + 47139.

It is an arithmetic number, because the mean of its divisors is an integer number (25833780).

Almost surely, 2^830019744 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 830019744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240021440).

830019744 is an abundant number, since it is smaller than the sum of its proper divisors (1650023136).

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

830019744 is a wasteful number, since it uses less digits than its factorization.

830019744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23491 (or 23477 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 830019744 is about 28810.0632418605. The cubic root of 830019744 is about 939.7870892471.

The spelling of 830019744 in words is "eight hundred thirty million, nineteen thousand, seven hundred forty-four".