76826220900576 has 144 divisors (see below), whose sum is σ = 232148750730624. Its totient is φ = 21792428967168.

The previous prime is 76826220900553. The next prime is 76826220900577. The reversal of 76826220900576 is 67500902262867.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76826220900577) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10025151 + ... + 15942273.

It is an arithmetic number, because the mean of its divisors is an integer number (1612144102296).

Almost surely, 2^{76826220900576} 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 76826220900576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116074375365312).

76826220900576 is an abundant number, since it is smaller than the sum of its proper divisors (155322529830048).

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

76826220900576 is a wasteful number, since it uses less digits than its factorization.

76826220900576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5917421 (or 5917274 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 76826220900576 in words is "seventy-six trillion, eight hundred twenty-six billion, two hundred twenty million, nine hundred thousand, five hundred seventy-six".