791476279776 has 1536 divisors, whose sum is σ = 3140134502400. Its totient is φ = 190468454400.

The previous prime is 791476279669. The next prime is 791476279799. The reversal of 791476279776 is 677972674197.

It is a super-2 number, since 2×791476279776² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3751072311 + ... + 3751072521.

It is an arithmetic number, because the mean of its divisors is an integer number (2044358400).

Almost surely, 2^791476279776 is an apocalyptic number.

791476279776 is a gapful number since it is divisible by the number (76) 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 791476279776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570067251200).

791476279776 is an abundant number, since it is smaller than the sum of its proper divisors (2348658222624).

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

791476279776 is a wasteful number, since it uses less digits than its factorization.

791476279776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 286 counting only the distinct ones).

The product of its digits is 392073696, while the sum is 72.

The spelling of 791476279776 in words is "seven hundred ninety-one billion, four hundred seventy-six million, two hundred seventy-nine thousand, seven hundred seventy-six".