76126901760 has 1920 divisors, whose sum is σ = 359441280000. Its totient is φ = 15216574464.

The previous prime is 76126901729. The next prime is 76126901771. The reversal of 76126901760 is 6710962167.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 4006679031 + ... + 4006679049.

It is an arithmetic number, because the mean of its divisors is an integer number (187209000).

Almost surely, 2^76126901760 is an apocalyptic number.

76126901760 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 76126901760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179720640000).

76126901760 is an abundant number, since it is smaller than the sum of its proper divisors (283314378240).

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

76126901760 is a wasteful number, since it uses less digits than its factorization.

76126901760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 76126901760 in words is "seventy-six billion, one hundred twenty-six million, nine hundred one thousand, seven hundred sixty".