77132319 has 8 divisors (see below), whose sum is σ = 112192512. Its totient is φ = 46746840.

The previous prime is 77132303. The next prime is 77132323. The reversal of 77132319 is 91323177.

It is a happy number.

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

It is not a de Polignac number, because 77132319 - 2⁴ = 77132303 is a prime.

It is a super-2 number, since 2×77132319² = 11898789268635522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 2337343 = 77132319 / (7 + 7 + 1 + 3 + 2 + 3 + 1 + 9).

It is a self number, because there is not a number n which added to its sum of digits gives 77132319.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77132329) 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, 1168639 + ... + 1168704.

It is an arithmetic number, because the mean of its divisors is an integer number (14024064).

Almost surely, 2^77132319 is an apocalyptic number.

77132319 is a deficient number, since it is larger than the sum of its proper divisors (35060193).

77132319 is a wasteful number, since it uses less digits than its factorization.

77132319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337357.

The product of its digits is 7938, while the sum is 33.

The square root of 77132319 is about 8782.5007258753. The cubic root of 77132319 is about 425.6756386067.

The spelling of 77132319 in words is "seventy-seven million, one hundred thirty-two thousand, three hundred nineteen".