780107328 has 672 divisors, whose sum is σ = 3178210560. Its totient is φ = 182476800.

The previous prime is 780107327. The next prime is 780107347. The reversal of 780107328 is 823701087.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 780107292 and 780107301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (780107327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19026988 + ... + 19027028.

It is an arithmetic number, because the mean of its divisors is an integer number (4729480).

Almost surely, 2^780107328 is an apocalyptic number.

780107328 is a gapful number since it is divisible by the number (78) 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 780107328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589105280).

780107328 is an abundant number, since it is smaller than the sum of its proper divisors (2398103232).

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

780107328 is a wasteful number, since it uses less digits than its factorization.

780107328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 780107328 is about 27930.4015008736. The cubic root of 780107328 is about 920.5586273345.

The spelling of 780107328 in words is "seven hundred eighty million, one hundred seven thousand, three hundred twenty-eight".