10077920 has 24 divisors (see below), whose sum is σ = 23809464. Its totient is φ = 4031104.

The previous prime is 10077919. The next prime is 10077931. The reversal of 10077920 is 2977001.

It is a self number, because there is not a number n which added to its sum of digits gives 10077920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31334 + ... + 31653.

It is an arithmetic number, because the mean of its divisors is an integer number (992061).

Almost surely, 2^10077920 is an apocalyptic number.

10077920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10077920 is an abundant number, since it is smaller than the sum of its proper divisors (13731544).

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

10077920 is an equidigital number, since it uses as much as digits as its factorization.

10077920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63002 (or 62994 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 26.

The square root of 10077920 is about 3174.5739871674. The cubic root of 10077920 is about 216.0016003539.

The spelling of 10077920 in words is "ten million, seventy-seven thousand, nine hundred twenty".