793140480 has 324 divisors, whose sum is σ = 3021634980. Its totient is φ = 191938560.

The previous prime is 793140373. The next prime is 793140563. The reversal of 793140480 is 84041397.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 203233536 + 589906944 = 14256^2 + 24288^2 .

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

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 35 ways as a sum of consecutive naturals, for example, 1393636 + ... + 1394204.

Almost surely, 2^793140480 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 793140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510817490).

793140480 is an abundant number, since it is smaller than the sum of its proper divisors (2228494500).

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

793140480 is a wasteful number, since it uses less digits than its factorization.

793140480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 590 counting only the distinct ones).

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

The square root of 793140480 is about 28162.7498657358. The cubic root of 793140480 is about 925.6568910787.

The spelling of 793140480 in words is "seven hundred ninety-three million, one hundred forty thousand, four hundred eighty".