10077676 has 36 divisors (see below), whose sum is σ = 21293328. Its totient is φ = 4087584.

The previous prime is 10077667. The next prime is 10077689. The reversal of 10077676 is 67677001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9610 + ... + 10606.

Almost surely, 2^10077676 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 10077676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10646664).

10077676 is an abundant number, since it is smaller than the sum of its proper divisors (11215652).

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

10077676 is a wasteful number, since it uses less digits than its factorization.

10077676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 34.

The square root of 10077676 is about 3174.5355565815. The cubic root of 10077676 is about 215.9998571101. Note that the first 3 decimals are identical.

The spelling of 10077676 in words is "ten million, seventy-seven thousand, six hundred seventy-six".