1761097680 has 320 divisors, whose sum is σ = 6321976320. Its totient is φ = 450261504.

The previous prime is 1761097607. The next prime is 1761097691. The reversal of 1761097680 is 867901671.

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, 6222819 + ... + 6223101.

It is an arithmetic number, because the mean of its divisors is an integer number (19756176).

Almost surely, 2^1761097680 is an apocalyptic number.

1761097680 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 1761097680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3160988160).

1761097680 is an abundant number, since it is smaller than the sum of its proper divisors (4560878640).

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

1761097680 is a wasteful number, since it uses less digits than its factorization.

1761097680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 1761097680 is about 41965.4343478058. The cubic root of 1761097680 is about 1207.6130984686.

The spelling of 1761097680 in words is "one billion, seven hundred sixty-one million, ninety-seven thousand, six hundred eighty".