1780400578000 has 80 divisors (see below), whose sum is σ = 4696373073600. Its totient is φ = 647418384000.

The previous prime is 1780400577863. The next prime is 1780400578043. The reversal of 1780400578000 is 8750040871.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40441650 + ... + 40485649.

It is an arithmetic number, because the mean of its divisors is an integer number (58704663420).

Almost surely, 2^{1780400578000} is an apocalyptic number.

1780400578000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1780400578000 is an abundant number, since it is smaller than the sum of its proper divisors (2915972495600).

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

1780400578000 is a wasteful number, since it uses less digits than its factorization.

1780400578000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80927333 (or 80927317 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 40.

The spelling of 1780400578000 in words is "one trillion, seven hundred eighty billion, four hundred million, five hundred seventy-eight thousand".