77782971 has 16 divisors (see below), whose sum is σ = 118672128. Its totient is φ = 44392800.

The previous prime is 77782967. The next prime is 77782993. The reversal of 77782971 is 17928777.

It is not a de Polignac number, because 77782971 - 2² = 77782967 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 77782971.

It is not an unprimeable number, because it can be changed into a prime (77782961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20536 + ... + 24026.

It is an arithmetic number, because the mean of its divisors is an integer number (7417008).

Almost surely, 2^77782971 is an apocalyptic number.

77782971 is a deficient number, since it is larger than the sum of its proper divisors (40889157).

77782971 is a wasteful number, since it uses less digits than its factorization.

77782971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4562.

The product of its digits is 345744, while the sum is 48.

The square root of 77782971 is about 8819.4654599925. The cubic root of 77782971 is about 426.8692219256.

The spelling of 77782971 in words is "seventy-seven million, seven hundred eighty-two thousand, nine hundred seventy-one".