76020743680 has 320 divisors, whose sum is σ = 215608200192. Its totient is φ = 25164840960.

The previous prime is 76020743671. The next prime is 76020743693. The reversal of 76020743680 is 8634702067.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78614557 + ... + 78615523.

Almost surely, 2^76020743680 is an apocalyptic number.

76020743680 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 76020743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107804100096).

76020743680 is an abundant number, since it is smaller than the sum of its proper divisors (139587456512).

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

76020743680 is a wasteful number, since it uses less digits than its factorization.

76020743680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 43.

The spelling of 76020743680 in words is "seventy-six billion, twenty million, seven hundred forty-three thousand, six hundred eighty".