10077456 has 40 divisors (see below), whose sum is σ = 26409024. Its totient is φ = 3310720.

The previous prime is 10077451. The next prime is 10077469. The reversal of 10077456 is 65477001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10077451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1930 + ... + 4886.

Almost surely, 2^10077456 is an apocalyptic number.

10077456 is a gapful number since it is divisible by the number (16) 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 10077456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13204512).

10077456 is an abundant number, since it is smaller than the sum of its proper divisors (16331568).

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

10077456 is a wasteful number, since it uses less digits than its factorization.

10077456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 10077456 is about 3174.5009056543. The cubic root of 10077456 is about 215.9982853087.

The spelling of 10077456 in words is "ten million, seventy-seven thousand, four hundred fifty-six".