76267008000 has 624 divisors, whose sum is σ = 285582294816. Its totient is φ = 20304691200.

The previous prime is 76267007977. The next prime is 76267008001. The reversal of 76267008000 is 80076267.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (76267008001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124415694 + ... + 124416306.

It is an arithmetic number, because the mean of its divisors is an integer number (457663934).

Almost surely, 2^76267008000 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 76267008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142791147408).

76267008000 is an abundant number, since it is smaller than the sum of its proper divisors (209315286816).

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

76267008000 is an frugal number, since it uses more digits than its factorization.

76267008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 76267008000 in words is "seventy-six billion, two hundred sixty-seven million, eight thousand".