8077440 has 128 divisors (see below), whose sum is σ = 29473920. Its totient is φ = 1843200.

The previous prime is 8077427. The next prime is 8077463. The reversal of 8077440 is 447708.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 8077398 and 8077407.

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, 13140 + ... + 13740.

It is an arithmetic number, because the mean of its divisors is an integer number (230265).

Almost surely, 2^8077440 is an apocalyptic number.

8077440 is a gapful number since it is divisible by the number (80) 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 8077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14736960).

8077440 is an abundant number, since it is smaller than the sum of its proper divisors (21396480).

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

8077440 is a wasteful number, since it uses less digits than its factorization.

8077440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 8077440 is about 2842.0837426086. The cubic root of 8077440 is about 200.6432621840.

The spelling of 8077440 in words is "eight million, seventy-seven thousand, four hundred forty".