10076720880 has 120 divisors (see below), whose sum is σ = 32019597936. Its totient is φ = 2621480960.

The previous prime is 10076720867. The next prime is 10076720897. The reversal of 10076720880 is 8802767001.

10076720880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390952 + ... + 415928.

Almost surely, 2^10076720880 is an apocalyptic number.

10076720880 is a gapful number since it is divisible by the number (10) 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 10076720880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16009798968).

10076720880 is an abundant number, since it is smaller than the sum of its proper divisors (21942877056).

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

10076720880 is a wasteful number, since it uses less digits than its factorization.

10076720880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25075 (or 25028 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The spelling of 10076720880 in words is "ten billion, seventy-six million, seven hundred twenty thousand, eight hundred eighty".