780489600 has 384 divisors, whose sum is σ = 2959632000. Its totient is φ = 178790400.

The previous prime is 780489569. The next prime is 780489617. The reversal of 780489600 is 6984087.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2006206 + ... + 2006594.

It is an arithmetic number, because the mean of its divisors is an integer number (7707375).

Almost surely, 2^780489600 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 780489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479816000).

780489600 is an abundant number, since it is smaller than the sum of its proper divisors (2179142400).

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

780489600 is a wasteful number, since it uses less digits than its factorization.

780489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 429 counting only the distinct ones).

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

The square root of 780489600 is about 27937.2439585583. The cubic root of 780489600 is about 920.7089683239.

The spelling of 780489600 in words is "seven hundred eighty million, four hundred eighty-nine thousand, six hundred".