781672120320 has 1152 divisors, whose sum is σ = 3272349943296. Its totient is φ = 154618822656.

The previous prime is 781672120301. The next prime is 781672120331. The reversal of 781672120320 is 23021276187.

It is a super-3 number, since 3×781672120320³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3041525632 + ... + 3041525888.

It is an arithmetic number, because the mean of its divisors is an integer number (2840581548).

Almost surely, 2^781672120320 is an apocalyptic number.

781672120320 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 781672120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636174971648).

781672120320 is an abundant number, since it is smaller than the sum of its proper divisors (2490677822976).

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

781672120320 is a wasteful number, since it uses less digits than its factorization.

781672120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 781672120320 in words is "seven hundred eighty-one billion, six hundred seventy-two million, one hundred twenty thousand, three hundred twenty".