784121425920 has 936 divisors, whose sum is σ = 3348341749584. Its totient is φ = 168651915264.

The previous prime is 784121425873. The next prime is 784121425933. The reversal of 784121425920 is 29524121487.

784121425920 is a `hidden beast` number, since 7 + 8 + 4 + 12 + 1 + 42 + 592 + 0 = 666.

It is a super-2 number, since 2×784121425920² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 153536007 + ... + 153541113.

It is an arithmetic number, because the mean of its divisors is an integer number (3577288194).

Almost surely, 2^784121425920 is an apocalyptic number.

784121425920 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 784121425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674170874792).

784121425920 is an abundant number, since it is smaller than the sum of its proper divisors (2564220323664).

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

784121425920 is a wasteful number, since it uses less digits than its factorization.

784121425920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5173 (or 5141 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 784121425920 in words is "seven hundred eighty-four billion, one hundred twenty-one million, four hundred twenty-five thousand, nine hundred twenty".