793148640 has 192 divisors, whose sum is σ = 2603446272. Its totient is φ = 202752000.

The previous prime is 793148639. The next prime is 793148647. The reversal of 793148640 is 46841397.

It is a junction number, because it is equal to n+sod(n) for n = 793148592 and 793148601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (793148647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2246704 + ... + 2247056.

It is an arithmetic number, because the mean of its divisors is an integer number (13559616).

Almost surely, 2^793148640 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 793148640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301723136).

793148640 is an abundant number, since it is smaller than the sum of its proper divisors (1810297632).

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

793148640 is a wasteful number, since it uses less digits than its factorization.

793148640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 793148640 is about 28162.8947375798. The cubic root of 793148640 is about 925.6600655203.

The spelling of 793148640 in words is "seven hundred ninety-three million, one hundred forty-eight thousand, six hundred forty".