71020800 has 270 divisors, whose sum is σ = 264513018. Its totient is φ = 18800640.

The previous prime is 71020787. The next prime is 71020801. The reversal of 71020800 is 802017.

It can be written as a sum of positive squares in 3 ways, for example, as 5992704 + 65028096 = 2448^2 + 8064^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71020801) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 518332 + ... + 518468.

Almost surely, 2^71020800 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 71020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132256509).

71020800 is an abundant number, since it is smaller than the sum of its proper divisors (193492218).

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

71020800 is a wasteful number, since it uses less digits than its factorization.

71020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 71020800 is about 8427.3839357181. The cubic root of 71020800 is about 414.1222071488.

Adding to 71020800 its reverse (802017), we get a palindrome (71822817).

The spelling of 71020800 in words is "seventy-one million, twenty thousand, eight hundred".