71777722000 has 80 divisors (see below), whose sum is σ = 174518298864. Its totient is φ = 28552320000.

The previous prime is 71777721989. The next prime is 71777722057. The reversal of 71777722000 is 22777717.

It can be written as a sum of positive squares in 8 ways, for example, as 22145011344 + 49632710656 = 148812^2 + 222784^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262860 + ... + 461140.

Almost surely, 2^71777722000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71777722000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87259149432).

71777722000 is an abundant number, since it is smaller than the sum of its proper divisors (102740576864).

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

71777722000 is a wasteful number, since it uses less digits than its factorization.

71777722000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198485 (or 198469 counting only the distinct ones).

The product of its (nonzero) digits is 67228, while the sum is 40.

The spelling of 71777722000 in words is "seventy-one billion, seven hundred seventy-seven million, seven hundred twenty-two thousand".