82777275 has 48 divisors (see below), whose sum is σ = 173798400. Its totient is φ = 37838880.

The previous prime is 82777271. The next prime is 82777291. The reversal of 82777275 is 57277728.

It is a happy number.

It is not a de Polignac number, because 82777275 - 2² = 82777271 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 82777275.

It is not an unprimeable number, because it can be changed into a prime (82777271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4035 + ... + 13484.

It is an arithmetic number, because the mean of its divisors is an integer number (3620800).

Almost surely, 2^82777275 is an apocalyptic number.

82777275 is an abundant number, since it is smaller than the sum of its proper divisors (91021125).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82777275 is a wasteful number, since it uses less digits than its factorization.

82777275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17545 (or 17534 counting only the distinct ones).

The product of its digits is 384160, while the sum is 45.

The square root of 82777275 is about 9098.2017454000. The cubic root of 82777275 is about 435.8165400326.

The spelling of 82777275 in words is "eighty-two million, seven hundred seventy-seven thousand, two hundred seventy-five".