71770440 has 128 divisors (see below), whose sum is σ = 251919360. Its totient is φ = 16015104.

The previous prime is 71770409. The next prime is 71770441. The reversal of 71770440 is 4407717.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 71770398 and 71770407.

It is not an unprimeable number, because it can be changed into a prime (71770441) 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, 35127 + ... + 37113.

It is an arithmetic number, because the mean of its divisors is an integer number (1968120).

Almost surely, 2^71770440 is an apocalyptic number.

71770440 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 71770440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125959680).

71770440 is an abundant number, since it is smaller than the sum of its proper divisors (180148920).

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

71770440 is a wasteful number, since it uses less digits than its factorization.

71770440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 30.

The square root of 71770440 is about 8471.7436221831. The cubic root of 71770440 is about 415.5741605142.

The spelling of 71770440 in words is "seventy-one million, seven hundred seventy thousand, four hundred forty".