71985000780 has 768 divisors, whose sum is σ = 287621591040. Its totient is φ = 14515200000.

The previous prime is 71985000749. The next prime is 71985000793. The reversal of 71985000780 is 8700058917.

71985000780 is a `hidden beast` number, since 71 + 9 + 8 + 500 + 0 + 78 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 256174240 + ... + 256174520.

It is an arithmetic number, because the mean of its divisors is an integer number (374507280).

Almost surely, 2^71985000780 is an apocalyptic number.

71985000780 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 71985000780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143810795520).

71985000780 is an abundant number, since it is smaller than the sum of its proper divisors (215636590260).

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

71985000780 is a wasteful number, since it uses less digits than its factorization.

71985000780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 71985000780 in words is "seventy-one billion, nine hundred eighty-five million, seven hundred eighty", and thus it is an aban number.