76449821760 has 504 divisors, whose sum is σ = 294164573976. Its totient is φ = 18811699200.

The previous prime is 76449821753. The next prime is 76449821849. The reversal of 76449821760 is 6712894467.

76449821760 is a `hidden beast` number, since 7 + 64 + 498 + 21 + 76 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1316818944 + 75133002816 = 36288^2 + 274104^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 76449821697 and 76449821706.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27292360 + ... + 27295160.

It is an arithmetic number, because the mean of its divisors is an integer number (583659869).

Almost surely, 2^76449821760 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 76449821760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147082286988).

76449821760 is an abundant number, since it is smaller than the sum of its proper divisors (217714752216).

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

76449821760 is an equidigital number, since it uses as much as digits as its factorization.

76449821760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 76449821760 in words is "seventy-six billion, four hundred forty-nine million, eight hundred twenty-one thousand, seven hundred sixty".