1790920000 has 70 divisors (see below), whose sum is σ = 4440998738. Its totient is φ = 716352000.

The previous prime is 1790919989. The next prime is 1790920009. The reversal of 1790920000 is 290971.

It can be written as a sum of positive squares in 5 ways, for example, as 547934464 + 1242985536 = 23408^2 + 35256^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1790920009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17614 + ... + 62386.

Almost surely, 2^1790920000 is an apocalyptic number.

1790920000 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 1790920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220499369).

1790920000 is an abundant number, since it is smaller than the sum of its proper divisors (2650078738).

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

1790920000 is an frugal number, since it uses more digits than its factorization.

1790920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44805 (or 44780 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 28.

The square root of 1790920000 is about 42319.2627535027. The cubic root of 1790920000 is about 1214.3915280998.

The spelling of 1790920000 in words is "one billion, seven hundred ninety million, nine hundred twenty thousand".