780033240 has 320 divisors, whose sum is σ = 3028988160. Its totient is φ = 176359680.

The previous prime is 780033227. The next prime is 780033259. The reversal of 780033240 is 42330087.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3696735 + ... + 3696945.

It is an arithmetic number, because the mean of its divisors is an integer number (9465588).

Almost surely, 2^780033240 is an apocalyptic number.

780033240 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 780033240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514494080).

780033240 is an abundant number, since it is smaller than the sum of its proper divisors (2248954920).

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

780033240 is a wasteful number, since it uses less digits than its factorization.

780033240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 780033240 is about 27929.0751726583. The cubic root of 780033240 is about 920.5294841194.

The spelling of 780033240 in words is "seven hundred eighty million, thirty-three thousand, two hundred forty".