787928163120 has 640 divisors, whose sum is σ = 3288345722880. Its totient is φ = 169574031360.

The previous prime is 787928163101. The next prime is 787928163203. The reversal of 787928163120 is 21361829787.

It is a happy number.

787928163120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17319924 + ... + 17365356.

It is an arithmetic number, because the mean of its divisors is an integer number (5138040192).

Almost surely, 2^787928163120 is an apocalyptic number.

787928163120 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 787928163120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644172861440).

787928163120 is an abundant number, since it is smaller than the sum of its proper divisors (2500417559760).

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

787928163120 is a wasteful number, since it uses less digits than its factorization.

787928163120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45530 (or 45518 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 787928163120 in words is "seven hundred eighty-seven billion, nine hundred twenty-eight million, one hundred sixty-three thousand, one hundred twenty".