10000077 has 8 divisors (see below), whose sum is σ = 13429920. Its totient is φ = 6618480.

The previous prime is 10000019. The next prime is 10000079. The reversal of 10000077 is 77000001.

10000077 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10000077 - 2¹⁰ = 9999053 is a prime.

10000077 is a modest number, since divided by 77 gives 10 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000079) 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, 11574 + ... + 12407.

It is an arithmetic number, because the mean of its divisors is an integer number (1678740).

Almost surely, 2^10000077 is an apocalyptic number.

It is an amenable number.

10000077 is a deficient number, since it is larger than the sum of its proper divisors (3429843).

10000077 is a wasteful number, since it uses less digits than its factorization.

10000077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24123.

The product of its (nonzero) digits is 49, while the sum is 15.

The square root of 10000077 is about 3162.2898349139. The cubic root of 10000077 is about 215.4440219733. Note that the first 3 decimals are identical.

Adding to 10000077 its reverse (77000001), we get a palindrome (87000078).

The spelling of 10000077 in words is "ten million, seventy-seven", and thus it is an aban number and an uban number.