824790740 has 48 divisors (see below), whose sum is σ = 1833511680. Its totient is φ = 311122560.

The previous prime is 824790737. The next prime is 824790749. The reversal of 824790740 is 47097428.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (824790749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8405 + ... + 41475.

It is an arithmetic number, because the mean of its divisors is an integer number (38198160).

Almost surely, 2^824790740 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 824790740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916755840).

824790740 is an abundant number, since it is smaller than the sum of its proper divisors (1008720940).

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

824790740 is a wasteful number, since it uses less digits than its factorization.

824790740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33152 (or 33150 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 824790740 is about 28719.1702526379. The cubic root of 824790740 is about 937.8094229597.

The spelling of 824790740 in words is "eight hundred twenty-four million, seven hundred ninety thousand, seven hundred forty".