10007780079 has 32 divisors (see below), whose sum is σ = 15403696128. Its totient is φ = 5719868000.

The previous prime is 10007780071. The next prime is 10007780087. The reversal of 10007780079 is 97008770001.

It is a happy number.

10007780079 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10007780071) and next prime (10007780087).

It is not a de Polignac number, because 10007780079 - 2³ = 10007780071 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10007780071) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 38967 + ... + 146744.

It is an arithmetic number, because the mean of its divisors is an integer number (481365504).

Almost surely, 2^10007780079 is an apocalyptic number.

10007780079 is a deficient number, since it is larger than the sum of its proper divisors (5395916049).

10007780079 is a wasteful number, since it uses less digits than its factorization.

10007780079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185819.

The product of its (nonzero) digits is 24696, while the sum is 39.

The spelling of 10007780079 in words is "ten billion, seven million, seven hundred eighty thousand, seventy-nine".