1768299120 has 320 divisors, whose sum is σ = 7032407040. Its totient is φ = 400038912.

The previous prime is 1768299097. The next prime is 1768299139. The reversal of 1768299120 is 219928671.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1617294 + ... + 1618386.

It is an arithmetic number, because the mean of its divisors is an integer number (21976272).

Almost surely, 2^1768299120 is an apocalyptic number.

1768299120 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 1768299120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3516203520).

1768299120 is an abundant number, since it is smaller than the sum of its proper divisors (5264107920).

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

1768299120 is a wasteful number, since it uses less digits than its factorization.

1768299120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 1768299120 is about 42051.1488546984. The cubic root of 1768299120 is about 1209.2569077647.

The spelling of 1768299120 in words is "one billion, seven hundred sixty-eight million, two hundred ninety-nine thousand, one hundred twenty".