76766328828000 has 2304 divisors, whose sum is σ = 344631862149120. Its totient is φ = 16520329728000.

The previous prime is 76766328827873. The next prime is 76766328828029. The reversal of 76766328828000 is 82882366767.

76766328828000 is a `hidden beast` number, since 7 + 6 + 76 + 6 + 3 + 288 + 280 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 383 ways as a sum of consecutive naturals, for example, 6069917677 + ... + 6069930323.

It is an arithmetic number, because the mean of its divisors is an integer number (149579801280).

Almost surely, 2^{76766328828000} is an apocalyptic number.

76766328828000 is a gapful number since it is divisible by the number (70) 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 76766328828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172315931074560).

76766328828000 is an abundant number, since it is smaller than the sum of its proper divisors (267865533321120).

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

76766328828000 is a wasteful number, since it uses less digits than its factorization.

76766328828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12763 (or 12732 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 76766328828000 in words is "seventy-six trillion, seven hundred sixty-six billion, three hundred twenty-eight million, eight hundred twenty-eight thousand".