780003840 has 320 divisors, whose sum is σ = 3111229440. Its totient is φ = 161955840.

The previous prime is 780003821. The next prime is 780003841. The reversal of 780003840 is 48300087.

780003840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 780003798 and 780003807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (780003841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 590701 + ... + 592019.

It is an arithmetic number, because the mean of its divisors is an integer number (9722592).

Almost surely, 2^780003840 is an apocalyptic number.

780003840 is a gapful number since it is divisible by the number (70) 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 780003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555614720).

780003840 is an abundant number, since it is smaller than the sum of its proper divisors (2331225600).

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

780003840 is a wasteful number, since it uses less digits than its factorization.

780003840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 780003840 is about 27928.5488344812. The cubic root of 780003840 is about 920.5179188401.

The spelling of 780003840 in words is "seven hundred eighty million, three thousand, eight hundred forty".