10077700 has 36 divisors (see below), whose sum is σ = 22029840. Its totient is φ = 4001440.

The previous prime is 10077689. The next prime is 10077721. The reversal of 10077700 is 777001.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17619 + ... + 18181.

It is an arithmetic number, because the mean of its divisors is an integer number (611940).

Almost surely, 2^10077700 is an apocalyptic number.

10077700 is a gapful number since it is divisible by the number (10) 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 10077700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11014920).

10077700 is an abundant number, since it is smaller than the sum of its proper divisors (11952140).

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

10077700 is a wasteful number, since it uses less digits than its factorization.

10077700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 343, while the sum is 22.

The square root of 10077700 is about 3174.5393366597. The cubic root of 10077700 is about 216.0000285780. Note that the first 4 decimals are identical.

The spelling of 10077700 in words is "ten million, seventy-seven thousand, seven hundred".