10077440 has 36 divisors (see below), whose sum is σ = 24141684. Its totient is φ = 4030464.

The previous prime is 10077439. The next prime is 10077443. The reversal of 10077440 is 4477001.

It can be written as a sum of positive squares in 2 ways, for example, as 1597696 + 8479744 = 1264^2 + 2912^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10077443) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2657 + ... + 5216.

Almost surely, 2^10077440 is an apocalyptic number.

10077440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10077440 is an abundant number, since it is smaller than the sum of its proper divisors (14064244).

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

10077440 is an frugal number, since it uses more digits than its factorization.

10077440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7894 (or 7880 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 23.

The square root of 10077440 is about 3174.4983855721. The cubic root of 10077440 is about 215.9981709950.

The spelling of 10077440 in words is "ten million, seventy-seven thousand, four hundred forty".