793467072 has 168 divisors, whose sum is σ = 2413154432. Its totient is φ = 248832000.

The previous prime is 793467071. The next prime is 793467107. The reversal of 793467072 is 270764397.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (793467071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 660072 + ... + 661272.

Almost surely, 2^793467072 is an apocalyptic number.

793467072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 793467072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206577216).

793467072 is an abundant number, since it is smaller than the sum of its proper divisors (1619687360).

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

793467072 is a wasteful number, since it uses less digits than its factorization.

793467072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 793467072 is about 28168.5475663904. The cubic root of 793467072 is about 925.7839264350.

The spelling of 793467072 in words is "seven hundred ninety-three million, four hundred sixty-seven thousand, seventy-two".