10076609790 has 168 divisors, whose sum is σ = 29450797560. Its totient is φ = 2480092992.

The previous prime is 10076609779. The next prime is 10076609797. The reversal of 10076609790 is 9790667001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10076609797) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1227921 + ... + 1236099.

Almost surely, 2^10076609790 is an apocalyptic number.

10076609790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10076609790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14725398780).

10076609790 is an abundant number, since it is smaller than the sum of its proper divisors (19374187770).

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

10076609790 is an equidigital number, since it uses as much as digits as its factorization.

10076609790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8230 (or 8202 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The spelling of 10076609790 in words is "ten billion, seventy-six million, six hundred nine thousand, seven hundred ninety".