76826880000 has 1440 divisors, whose sum is σ = 325960034400. Its totient is φ = 17915904000.

The previous prime is 76826879993. The next prime is 76826880061. The reversal of 76826880000 is 8862867.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4043519991 + ... + 4043520009.

It is an arithmetic number, because the mean of its divisors is an integer number (226361135).

Almost surely, 2^76826880000 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 76826880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162980017200).

76826880000 is an abundant number, since it is smaller than the sum of its proper divisors (249133154400).

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

76826880000 is an equidigital number, since it uses as much as digits as its factorization.

76826880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 76826880000 in words is "seventy-six billion, eight hundred twenty-six million, eight hundred eighty thousand".