780819648700 has 288 divisors, whose sum is σ = 2111372863488. Its totient is φ = 244048896000.

The previous prime is 780819648667. The next prime is 780819648709. The reversal of 780819648700 is 7846918087.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (780819648709) 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, 804139215 + ... + 804140185.

It is an arithmetic number, because the mean of its divisors is an integer number (7331155776).

Almost surely, 2^780819648700 is an apocalyptic number.

780819648700 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 780819648700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055686431744).

780819648700 is an abundant number, since it is smaller than the sum of its proper divisors (1330553214788).

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

780819648700 is a wasteful number, since it uses less digits than its factorization.

780819648700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 58.

The spelling of 780819648700 in words is "seven hundred eighty billion, eight hundred nineteen million, six hundred forty-eight thousand, seven hundred".