791367408 has 280 divisors, whose sum is σ = 2629862928. Its totient is φ = 228427776.

The previous prime is 791367407. The next prime is 791367427. The reversal of 791367408 is 804763197.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (791367407) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 2577591 + ... + 2577897.

Almost surely, 2^791367408 is an apocalyptic number.

791367408 is a gapful number since it is divisible by the number (78) 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 791367408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314931464).

791367408 is an abundant number, since it is smaller than the sum of its proper divisors (1838495520).

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

791367408 is a wasteful number, since it uses less digits than its factorization.

791367408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 791367408 is about 28131.2532248387. The cubic root of 791367408 is about 924.9666052711.

The spelling of 791367408 in words is "seven hundred ninety-one million, three hundred sixty-seven thousand, four hundred eight".