1790142768 has 100 divisors (see below), whose sum is σ = 5291610720. Its totient is φ = 583998336.

The previous prime is 1790142751. The next prime is 1790142791. The reversal of 1790142768 is 8672410971.

It is a happy number.

It is a super-2 number, since 2×1790142768² = 6409222259645403648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 46218 + ... + 75606.

Almost surely, 2^1790142768 is an apocalyptic number.

1790142768 is a gapful number since it is divisible by the number (18) 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 1790142768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2645805360).

1790142768 is an abundant number, since it is smaller than the sum of its proper divisors (3501467952).

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

1790142768 is a wasteful number, since it uses less digits than its factorization.

1790142768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29456 (or 29441 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 1790142768 is about 42310.0787992648. The cubic root of 1790142768 is about 1214.2158268718.

The spelling of 1790142768 in words is "one billion, seven hundred ninety million, one hundred forty-two thousand, seven hundred sixty-eight".