780282961920 has 2688 divisors, whose sum is σ = 3765206592000. Its totient is φ = 152599265280.

The previous prime is 780282961907. The next prime is 780282961973. The reversal of 780282961920 is 29169282087.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45898997752 + ... + 45898997768.

It is an arithmetic number, because the mean of its divisors is an integer number (1400746500).

Almost surely, 2^780282961920 is an apocalyptic number.

780282961920 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 780282961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882603296000).

780282961920 is an abundant number, since it is smaller than the sum of its proper divisors (2984923630080).

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

780282961920 is a wasteful number, since it uses less digits than its factorization.

780282961920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 780282961920 in words is "seven hundred eighty billion, two hundred eighty-two million, nine hundred sixty-one thousand, nine hundred twenty".