77123864 has 8 divisors (see below), whose sum is σ = 144607260. Its totient is φ = 38561928.

The previous prime is 77123863. The next prime is 77123887. The reversal of 77123864 is 46832177.

77123864 = 2188² + 2189² + ... + 2203².

It is a tau number, because it is divible by the number of its divisors (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77123863) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4820234 + ... + 4820249.

Almost surely, 2^77123864 is an apocalyptic number.

It is an amenable number.

77123864 is a deficient number, since it is larger than the sum of its proper divisors (67483396).

77123864 is a wasteful number, since it uses less digits than its factorization.

77123864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9640489 (or 9640485 counting only the distinct ones).

The product of its digits is 56448, while the sum is 38.

The square root of 77123864 is about 8782.0193577559. The cubic root of 77123864 is about 425.6600843008.

It can be divided in two parts, 77 and 123864, that multiplied together give a triangular number (9537528 = T₄₃₆₇).

The spelling of 77123864 in words is "seventy-seven million, one hundred twenty-three thousand, eight hundred sixty-four".