1797440736 has 576 divisors, whose sum is σ = 6640704000. Its totient is φ = 422682624.

The previous prime is 1797440713. The next prime is 1797440737. The reversal of 1797440736 is 6370447971.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1797440737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94602135 + ... + 94602153.

It is an arithmetic number, because the mean of its divisors is an integer number (11529000).

Almost surely, 2^1797440736 is an apocalyptic number.

1797440736 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 1797440736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3320352000).

1797440736 is an abundant number, since it is smaller than the sum of its proper divisors (4843263264).

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

1797440736 is a wasteful number, since it uses less digits than its factorization.

1797440736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 48.

The square root of 1797440736 is about 42396.2349271725. The cubic root of 1797440736 is about 1215.8636086059.

The spelling of 1797440736 in words is "one billion, seven hundred ninety-seven million, four hundred forty thousand, seven hundred thirty-six".