77782023 has 24 divisors (see below), whose sum is σ = 123411600. Its totient is φ = 46815360.

The previous prime is 77782013. The next prime is 77782049. The reversal of 77782023 is 32028777.

It is not a de Polignac number, because 77782023 - 2¹⁰ = 77780999 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77782013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12115 + ... + 17387.

It is an arithmetic number, because the mean of its divisors is an integer number (5142150).

Almost surely, 2^77782023 is an apocalyptic number.

77782023 is a deficient number, since it is larger than the sum of its proper divisors (45629577).

77782023 is a wasteful number, since it uses less digits than its factorization.

77782023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5439 (or 5436 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 77782023 is about 8819.4117150749. The cubic root of 77782023 is about 426.8674877257.

It can be divided in two parts, 7778 and 2023, that added together give a square (9801 = 99²).

The spelling of 77782023 in words is "seventy-seven million, seven hundred eighty-two thousand, twenty-three".