791016800 has 216 divisors, whose sum is σ = 2380488264. Its totient is φ = 255037440.

The previous prime is 791016791. The next prime is 791016823. The reversal of 791016800 is 8610197.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 665807 + ... + 666993.

It is an arithmetic number, because the mean of its divisors is an integer number (11020779).

Almost surely, 2^791016800 is an apocalyptic number.

791016800 is a gapful number since it is divisible by the number (70) 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 791016800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190244132).

791016800 is an abundant number, since it is smaller than the sum of its proper divisors (1589471464).

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

791016800 is a wasteful number, since it uses less digits than its factorization.

791016800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 32.

The square root of 791016800 is about 28125.0208888811. The cubic root of 791016800 is about 924.8299857975.

Adding to 791016800 its reverse (8610197), we get a palindrome (799626997).

The spelling of 791016800 in words is "seven hundred ninety-one million, sixteen thousand, eight hundred".