1780454564 has 96 divisors (see below), whose sum is σ = 3862978560. Its totient is φ = 701534592.

The previous prime is 1780454549. The next prime is 1780454579. The reversal of 1780454564 is 4654540871.

It is an interprime number because it is at equal distance from previous prime (1780454549) and next prime (1780454579).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1785314 + ... + 1786310.

It is an arithmetic number, because the mean of its divisors is an integer number (40239360).

Almost surely, 2^1780454564 is an apocalyptic number.

1780454564 is a gapful number since it is divisible by the number (14) 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 1780454564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931489280).

1780454564 is an abundant number, since it is smaller than the sum of its proper divisors (2082523996).

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

1780454564 is a wasteful number, since it uses less digits than its factorization.

1780454564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 44.

The square root of 1780454564 is about 42195.4329756195. The cubic root of 1780454564 is about 1212.0214290743.

The spelling of 1780454564 in words is "one billion, seven hundred eighty million, four hundred fifty-four thousand, five hundred sixty-four".