1768825296 has 320 divisors, whose sum is σ = 6061834240. Its totient is φ = 483356160.

The previous prime is 1768825277. The next prime is 1768825309. The reversal of 1768825296 is 6925288671.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 7931841 + ... + 7932063.

It is an arithmetic number, because the mean of its divisors is an integer number (18943232).

Almost surely, 2^1768825296 is an apocalyptic number.

1768825296 is a gapful number since it is divisible by the number (16) 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 1768825296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3030917120).

1768825296 is an abundant number, since it is smaller than the sum of its proper divisors (4293008944).

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

1768825296 is a wasteful number, since it uses less digits than its factorization.

1768825296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 339 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 1768825296 is about 42057.4047701472. The cubic root of 1768825296 is about 1209.3768382401.

The spelling of 1768825296 in words is "one billion, seven hundred sixty-eight million, eight hundred twenty-five thousand, two hundred ninety-six".