1780899120 has 720 divisors, whose sum is σ = 8196787872. Its totient is φ = 340623360.

The previous prime is 1780899101. The next prime is 1780899121. The reversal of 1780899120 is 219980871.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1780899121) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5044864 + ... + 5045216.

Almost surely, 2^1780899120 is an apocalyptic number.

1780899120 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 1780899120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4098393936).

1780899120 is an abundant number, since it is smaller than the sum of its proper divisors (6415888752).

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

1780899120 is a wasteful number, since it uses less digits than its factorization.

1780899120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 1780899120 is about 42200.7004681202. The cubic root of 1780899120 is about 1212.1222959298.

The spelling of 1780899120 in words is "one billion, seven hundred eighty million, eight hundred ninety-nine thousand, one hundred twenty".