71000790 has 64 divisors (see below), whose sum is σ = 195416064. Its totient is φ = 16172928.

The previous prime is 71000759. The next prime is 71000791. The reversal of 71000790 is 9700017.

It is a super-2 number, since 2×71000790² = 10082224361248200, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 71000790.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71000791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116667 + ... + 117273.

It is an arithmetic number, because the mean of its divisors is an integer number (3053376).

Almost surely, 2^71000790 is an apocalyptic number.

71000790 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 71000790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97708032).

71000790 is an abundant number, since it is smaller than the sum of its proper divisors (124415274).

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

71000790 is a wasteful number, since it uses less digits than its factorization.

71000790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181.

The product of its (nonzero) digits is 441, while the sum is 24.

The square root of 71000790 is about 8426.1966509215. The cubic root of 71000790 is about 414.0833107328.

The spelling of 71000790 in words is "seventy-one million, seven hundred ninety", and thus it is an aban number.