791285376 has 128 divisors (see below), whose sum is σ = 2506752000. Its totient is φ = 216235008.

The previous prime is 791285371. The next prime is 791285377. The reversal of 791285376 is 673582197.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×791285376² = 1252265092542922752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (791285371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55425 + ... + 68223.

It is an arithmetic number, because the mean of its divisors is an integer number (19584000).

Almost surely, 2^791285376 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 791285376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253376000).

791285376 is an abundant number, since it is smaller than the sum of its proper divisors (1715466624).

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

791285376 is a wasteful number, since it uses less digits than its factorization.

791285376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12846 (or 12834 counting only the distinct ones).

The product of its digits is 635040, while the sum is 48.

The square root of 791285376 is about 28129.7951645582. The cubic root of 791285376 is about 924.9346439336.

The spelling of 791285376 in words is "seven hundred ninety-one million, two hundred eighty-five thousand, three hundred seventy-six".