1797007680 has 280 divisors, whose sum is σ = 6885276552. Its totient is φ = 442257408.

The previous prime is 1797007637. The next prime is 1797007691. The reversal of 1797007680 is 867007971.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 400640256 + 1396367424 = 20016^2 + 37368^2 .

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 39 ways as a sum of consecutive naturals, for example, 334294 + ... + 339626.

Almost surely, 2^1797007680 is an apocalyptic number.

1797007680 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 1797007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442638276).

1797007680 is an abundant number, since it is smaller than the sum of its proper divisors (5088268872).

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

1797007680 is a wasteful number, since it uses less digits than its factorization.

1797007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5375 (or 5356 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The square root of 1797007680 is about 42391.1273735436. The cubic root of 1797007680 is about 1215.7659550714.

The spelling of 1797007680 in words is "one billion, seven hundred ninety-seven million, seven thousand, six hundred eighty".