793428480 has 320 divisors, whose sum is σ = 3038555520. Its totient is φ = 195084288.

The previous prime is 793428469. The next prime is 793428511. The reversal of 793428480 is 84824397.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×793428480² = 1259057505750220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 898119 + ... + 899001.

It is an arithmetic number, because the mean of its divisors is an integer number (9495486).

Almost surely, 2^793428480 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 793428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519277760).

793428480 is an abundant number, since it is smaller than the sum of its proper divisors (2245127040).

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

793428480 is a wasteful number, since it uses less digits than its factorization.

793428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 793428480 is about 28167.8625387160. The cubic root of 793428480 is about 925.7689170188.

The spelling of 793428480 in words is "seven hundred ninety-three million, four hundred twenty-eight thousand, four hundred eighty".