1764879480 has 384 divisors, whose sum is σ = 7477142400. Its totient is φ = 350355456.

The previous prime is 1764879443. The next prime is 1764879499. The reversal of 1764879480 is 849784671.

It is a happy number.

1764879480 is a `hidden beast` number, since 1 + 76 + 487 + 94 + 8 + 0 = 666.

1764879480 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1764879480² = 6229599157850140800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 555336 + ... + 558504.

It is an arithmetic number, because the mean of its divisors is an integer number (19471725).

Almost surely, 2^1764879480 is an apocalyptic number.

1764879480 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 1764879480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3738571200).

1764879480 is an abundant number, since it is smaller than the sum of its proper divisors (5712262920).

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

1764879480 is a wasteful number, since it uses less digits than its factorization.

1764879480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3223 (or 3216 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 1764879480 is about 42010.4686953145. The cubic root of 1764879480 is about 1208.4768942179.

The spelling of 1764879480 in words is "one billion, seven hundred sixty-four million, eight hundred seventy-nine thousand, four hundred eighty".