780940160 has 512 divisors, whose sum is σ = 2664990720. Its totient is φ = 210862080.

The previous prime is 780940133. The next prime is 780940163. The reversal of 780940160 is 61049087.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 780940160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (780940163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14734694 + ... + 14734746.

It is an arithmetic number, because the mean of its divisors is an integer number (5205060).

Almost surely, 2^780940160 is an apocalyptic number.

780940160 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 780940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332495360).

780940160 is an abundant number, since it is smaller than the sum of its proper divisors (1884050560).

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

780940160 is a wasteful number, since it uses less digits than its factorization.

780940160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 780940160 is about 27945.3065826804. The cubic root of 780940160 is about 920.8861027932.

The spelling of 780940160 in words is "seven hundred eighty million, nine hundred forty thousand, one hundred sixty".