793224540 has 144 divisors (see below), whose sum is σ = 2594985120. Its totient is φ = 195471360.

The previous prime is 793224533. The next prime is 793224577. The reversal of 793224540 is 45422397.

793224540 is a `hidden beast` number, since 7 + 93 + 2 + 24 + 540 = 666.

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 = 793224495 and 793224504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137392 + ... + 143048.

It is an arithmetic number, because the mean of its divisors is an integer number (18020730).

Almost surely, 2^793224540 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 793224540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297492560).

793224540 is an abundant number, since it is smaller than the sum of its proper divisors (1801760580).

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

793224540 is a wasteful number, since it uses less digits than its factorization.

793224540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5732 (or 5727 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 793224540 is about 28164.2422230743. The cubic root of 793224540 is about 925.6895914521.

The spelling of 793224540 in words is "seven hundred ninety-three million, two hundred twenty-four thousand, five hundred forty".