1769940480 has 640 divisors, whose sum is σ = 7325531136. Its totient is φ = 353894400.

The previous prime is 1769940479. The next prime is 1769940517. The reversal of 1769940480 is 840499671.

It is a tau number, because it is divible by the number of its divisors (640).

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

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, 24245724 + ... + 24245796.

Almost surely, 2^1769940480 is an apocalyptic number.

1769940480 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 1769940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662765568).

1769940480 is an abundant number, since it is smaller than the sum of its proper divisors (5555590656).

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

1769940480 is a wasteful number, since it uses less digits than its factorization.

1769940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 1769940480 is about 42070.6605605379. The cubic root of 1769940480 is about 1209.6309417913.

It can be divided in two parts, 1769 and 940480, that added together give a palindrome (942249).

The spelling of 1769940480 in words is "one billion, seven hundred sixty-nine million, nine hundred forty thousand, four hundred eighty".