76789961248 has 384 divisors, whose sum is σ = 217640908800. Its totient is φ = 25663979520.

The previous prime is 76789961239. The next prime is 76789961267. The reversal of 76789961248 is 84216998767.

It is a Smith number, since the sum of its digits (67) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 45196303 + ... + 45198001.

It is an arithmetic number, because the mean of its divisors is an integer number (566773200).

Almost surely, 2^76789961248 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 76789961248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108820454400).

76789961248 is an abundant number, since it is smaller than the sum of its proper divisors (140850947552).

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

76789961248 is a wasteful number, since it uses less digits than its factorization.

76789961248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 1832 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 67.

The spelling of 76789961248 in words is "seventy-six billion, seven hundred eighty-nine million, nine hundred sixty-one thousand, two hundred forty-eight".