780399360 has 432 divisors, whose sum is σ = 3031121184. Its totient is φ = 191102976.

The previous prime is 780399349. The next prime is 780399383. The reversal of 780399360 is 63993087.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×780399360² = 1218046322176819200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4043424 + ... + 4043616.

Almost surely, 2^780399360 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 780399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515560592).

780399360 is an abundant number, since it is smaller than the sum of its proper divisors (2250721824).

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

780399360 is a wasteful number, since it uses less digits than its factorization.

780399360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 780399360 is about 27935.6288635141. The cubic root of 780399360 is about 920.6734829142.

The spelling of 780399360 in words is "seven hundred eighty million, three hundred ninety-nine thousand, three hundred sixty".