10077444 has 72 divisors (see below), whose sum is σ = 27961752. Its totient is φ = 3041280.

The previous prime is 10077443. The next prime is 10077451. The reversal of 10077444 is 44477001.

It can be written as a sum of positive squares in 4 ways, for example, as 230400 + 9847044 = 480^2 + 3138^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 28372 + ... + 28724.

Almost surely, 2^10077444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10077444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13980876).

10077444 is an abundant number, since it is smaller than the sum of its proper divisors (17884308).

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

10077444 is a wasteful number, since it uses less digits than its factorization.

10077444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 10077444 is about 3174.4990155929. The cubic root of 10077444 is about 215.9981995735.

The spelling of 10077444 in words is "ten million, seventy-seven thousand, four hundred forty-four".