71077440 has 168 divisors, whose sum is σ = 262688832. Its totient is φ = 16235520.

The previous prime is 71077439. The next prime is 71077453. The reversal of 71077440 is 4477017.

It is a tau number, because it is divible by the number of its divisors (168).

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 = 71077398 and 71077407.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46285 + ... + 47795.

It is an arithmetic number, because the mean of its divisors is an integer number (1563624).

Almost surely, 2^71077440 is an apocalyptic number.

71077440 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 71077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131344416).

71077440 is an abundant number, since it is smaller than the sum of its proper divisors (191611392).

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

71077440 is a wasteful number, since it uses less digits than its factorization.

71077440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1528 counting only the distinct ones).

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

The square root of 71077440 is about 8430.7437394337. The cubic root of 71077440 is about 414.2322671552.

It can be divided in two parts, 71077 and 440, that added together give a palindrome (71517).

The spelling of 71077440 in words is "seventy-one million, seventy-seven thousand, four hundred forty".