1790163072 has 256 divisors, whose sum is σ = 5499187200. Its totient is φ = 572949504.

The previous prime is 1790163061. The next prime is 1790163079. The reversal of 1790163072 is 2703610971.

It is a happy number.

1790163072 is a `hidden beast` number, since 17 + 9 + 0 + 1 + 630 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1790163079) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16730443 + ... + 16730549.

It is an arithmetic number, because the mean of its divisors is an integer number (21481200).

Almost surely, 2^1790163072 is an apocalyptic number.

1790163072 is a gapful number since it is divisible by the number (12) 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 1790163072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749593600).

1790163072 is an abundant number, since it is smaller than the sum of its proper divisors (3709024128).

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

1790163072 is a wasteful number, since it uses less digits than its factorization.

1790163072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 1790163072 is about 42310.3187414134. The cubic root of 1790163072 is about 1214.2204174451.

The spelling of 1790163072 in words is "one billion, seven hundred ninety million, one hundred sixty-three thousand, seventy-two".