71087250780 has 720 divisors, whose sum is σ = 281977819200. Its totient is φ = 14978815488.

The previous prime is 71087250719. The next prime is 71087250803. The reversal of 71087250780 is 8705278017.

71087250780 is a `hidden beast` number, since 71 + 0 + 8 + 72 + 507 + 8 + 0 = 666.

It is a super-2 number, since 2×71087250780² (a number of 23 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 239 ways as a sum of consecutive naturals, for example, 93906162 + ... + 93906918.

It is an arithmetic number, because the mean of its divisors is an integer number (391635860).

Almost surely, 2^71087250780 is an apocalyptic number.

71087250780 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 71087250780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140988909600).

71087250780 is an abundant number, since it is smaller than the sum of its proper divisors (210890568420).

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

71087250780 is a wasteful number, since it uses less digits than its factorization.

71087250780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 45.

The spelling of 71087250780 in words is "seventy-one billion, eighty-seven million, two hundred fifty thousand, seven hundred eighty".