780028000 has 96 divisors (see below), whose sum is σ = 2029442688. Its totient is φ = 293632000.

The previous prime is 780027979. The next prime is 780028009. The reversal of 780028000 is 820087.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (780028009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62265 + ... + 73735.

It is an arithmetic number, because the mean of its divisors is an integer number (21140028).

Almost surely, 2^780028000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 780028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014721344).

780028000 is an abundant number, since it is smaller than the sum of its proper divisors (1249414688).

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

780028000 is a wasteful number, since it uses less digits than its factorization.

780028000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11513 (or 11495 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 780028000 is about 27928.9813634511. The cubic root of 780028000 is about 920.5274228460.

Adding to 780028000 its reverse (820087), we get a palindrome (780848087).

The spelling of 780028000 in words is "seven hundred eighty million, twenty-eight thousand".