780057000 has 256 divisors, whose sum is σ = 2736115200. Its totient is φ = 205574400.

The previous prime is 780056957. The next prime is 780057013. The reversal of 780057000 is 750087.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4508914 + ... + 4509086.

It is an arithmetic number, because the mean of its divisors is an integer number (10687950).

Almost surely, 2^780057000 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 780057000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368057600).

780057000 is an abundant number, since it is smaller than the sum of its proper divisors (1956058200).

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

780057000 is a wasteful number, since it uses less digits than its factorization.

780057000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 780057000 is about 27929.5005325910. The cubic root of 780057000 is about 920.5388305410.

The spelling of 780057000 in words is "seven hundred eighty million, fifty-seven thousand".