76766558400000 has 2880 divisors, whose sum is σ = 329129184384000. Its totient is φ = 16860856320000.

The previous prime is 76766558399981. The next prime is 76766558400023. The reversal of 76766558400000 is 485566767.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×76766558400000² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 76766558400000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 385761599901 + ... + 385761600099.

It is an arithmetic number, because the mean of its divisors is an integer number (114280966800).

Almost surely, 2^{76766558400000} is an apocalyptic number.

76766558400000 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 76766558400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164564592192000).

76766558400000 is an abundant number, since it is smaller than the sum of its proper divisors (252362625984000).

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

76766558400000 is an equidigital number, since it uses as much as digits as its factorization.

76766558400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 76766558400000 in words is "seventy-six trillion, seven hundred sixty-six billion, five hundred fifty-eight million, four hundred thousand".