1780578245880 has 960 divisors, whose sum is σ = 7343059046400. Its totient is φ = 378036771840.

The previous prime is 1780578245851. The next prime is 1780578245921. The reversal of 1780578245880 is 885428750871.

1780578245880 is a `hidden beast` number, since 1 + 7 + 8 + 0 + 578 + 2 + 4 + 58 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1210453545 + ... + 1210455015.

It is an arithmetic number, because the mean of its divisors is an integer number (7649019840).

Almost surely, 2^{1780578245880} is an apocalyptic number.

1780578245880 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 1780578245880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3671529523200).

1780578245880 is an abundant number, since it is smaller than the sum of its proper divisors (5562480800520).

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

1780578245880 is a wasteful number, since it uses less digits than its factorization.

1780578245880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 40140800, while the sum is 63.

The spelling of 1780578245880 in words is "one trillion, seven hundred eighty billion, five hundred seventy-eight million, two hundred forty-five thousand, eight hundred eighty".