780228960 has 240 divisors, whose sum is σ = 2871405936. Its totient is φ = 178074624.

The previous prime is 780228919. The next prime is 780228961. The reversal of 780228960 is 69822087.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (780228961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1152142 + ... + 1152818.

Almost surely, 2^780228960 is an apocalyptic number.

780228960 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 780228960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435702968).

780228960 is an abundant number, since it is smaller than the sum of its proper divisors (2091176976).

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

780228960 is an equidigital number, since it uses as much as digits as its factorization.

780228960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 780228960 is about 27932.5788283144. The cubic root of 780228960 is about 920.6064684302.

The spelling of 780228960 in words is "seven hundred eighty million, two hundred twenty-eight thousand, nine hundred sixty".