780598080 has 224 divisors, whose sum is σ = 2775386880. Its totient is φ = 206530560.

The previous prime is 780598067. The next prime is 780598097. The reversal of 780598080 is 80895087.

780598080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×780598080³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1442610 + ... + 1443150.

It is an arithmetic number, because the mean of its divisors is an integer number (12390120).

Almost surely, 2^780598080 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 780598080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387693440).

780598080 is an abundant number, since it is smaller than the sum of its proper divisors (1994788800).

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

780598080 is a wasteful number, since it uses less digits than its factorization.

780598080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 780598080 is about 27939.1853854045. The cubic root of 780598080 is about 920.7516226962.

The spelling of 780598080 in words is "seven hundred eighty million, five hundred ninety-eight thousand, eighty".