76765177104 has 320 divisors, whose sum is σ = 255712204800. Its totient is φ = 19267522560.

The previous prime is 76765177103. The next prime is 76765177121. The reversal of 76765177104 is 40177156767.

It is not an unprimeable number, because it can be changed into a prime (76765177103) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 13121572 + ... + 13127420.

It is an arithmetic number, because the mean of its divisors is an integer number (799100640).

Almost surely, 2^76765177104 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 76765177104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127856102400).

76765177104 is an abundant number, since it is smaller than the sum of its proper divisors (178947027696).

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

76765177104 is a wasteful number, since it uses less digits than its factorization.

76765177104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5998 (or 5992 counting only the distinct ones).

The product of its (nonzero) digits is 1728720, while the sum is 51.

The spelling of 76765177104 in words is "seventy-six billion, seven hundred sixty-five million, one hundred seventy-seven thousand, one hundred four".