1790829840 has 80 divisors (see below), whose sum is σ = 5572411200. Its totient is φ = 475762176.

The previous prime is 1790829839. The next prime is 1790829851. The reversal of 1790829840 is 489280971.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1790829840.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50691 + ... + 78429.

It is an arithmetic number, because the mean of its divisors is an integer number (69655140).

Almost surely, 2^1790829840 is an apocalyptic number.

1790829840 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 1790829840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786205600).

1790829840 is an abundant number, since it is smaller than the sum of its proper divisors (3781581360).

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

1790829840 is a wasteful number, since it uses less digits than its factorization.

1790829840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28024 (or 28018 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The square root of 1790829840 is about 42318.1975041471. The cubic root of 1790829840 is about 1214.3711491182.

The spelling of 1790829840 in words is "one billion, seven hundred ninety million, eight hundred twenty-nine thousand, eight hundred forty".