1790200080 has 240 divisors, whose sum is σ = 6273723456. Its totient is φ = 457067520.

The previous prime is 1790200051. The next prime is 1790200081. The reversal of 1790200080 is 800020971.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (1790200081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1640335 + ... + 1641425.

Almost surely, 2^1790200080 is an apocalyptic number.

1790200080 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 1790200080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136861728).

1790200080 is an abundant number, since it is smaller than the sum of its proper divisors (4483523376).

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

1790200080 is a wasteful number, since it uses less digits than its factorization.

1790200080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1790200080 is about 42310.7560792761. The cubic root of 1790200080 is about 1214.2287845711.

The spelling of 1790200080 in words is "one billion, seven hundred ninety million, two hundred thousand, eighty".