791269680 has 80 divisors (see below), whose sum is σ = 2458414080. Its totient is φ = 210534144.

The previous prime is 791269673. The next prime is 791269681. The reversal of 791269680 is 86962197.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×791269680³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (791269681) 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, 111519 + ... + 118401.

It is an arithmetic number, because the mean of its divisors is an integer number (30730176).

Almost surely, 2^791269680 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 791269680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229207040).

791269680 is an abundant number, since it is smaller than the sum of its proper divisors (1667144400).

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

791269680 is a wasteful number, since it uses less digits than its factorization.

791269680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7378 (or 7372 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 791269680 is about 28129.5161707414. The cubic root of 791269680 is about 924.9285282007.

The spelling of 791269680 in words is "seven hundred ninety-one million, two hundred sixty-nine thousand, six hundred eighty".