10077764 has 24 divisors (see below), whose sum is σ = 18274200. Its totient is φ = 4859136.

The previous prime is 10077763. The next prime is 10077773. The reversal of 10077764 is 46777001.

It can be written as a sum of positive squares in 4 ways, for example, as 3276100 + 6801664 = 1810^2 + 2608^2 .

It is a super-2 number, since 2×10077764² = 203122654479392, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10077764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10077763) 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, 21824 + ... + 22280.

It is an arithmetic number, because the mean of its divisors is an integer number (761425).

Almost surely, 2^10077764 is an apocalyptic number.

It is an amenable number.

10077764 is a deficient number, since it is larger than the sum of its proper divisors (8196436).

10077764 is a wasteful number, since it uses less digits than its factorization.

10077764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 32.

The square root of 10077764 is about 3174.5494168464. The cubic root of 10077764 is about 216.0004858242. Note that the first 3 decimals are identical.

The spelling of 10077764 in words is "ten million, seventy-seven thousand, seven hundred sixty-four".