77352975 has 144 divisors (see below), whose sum is σ = 175488768. Its totient is φ = 32970240.

The previous prime is 77352973. The next prime is 77352983. The reversal of 77352975 is 57925377.

It is a happy number.

It is not a de Polignac number, because 77352975 - 2¹ = 77352973 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 77352975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77352973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 722872 + ... + 722978.

It is an arithmetic number, because the mean of its divisors is an integer number (1218672).

Almost surely, 2^77352975 is an apocalyptic number.

77352975 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

77352975 is an abundant number, since it is smaller than the sum of its proper divisors (98135793).

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

77352975 is a wasteful number, since it uses less digits than its factorization.

77352975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 139 counting only the distinct ones).

The product of its digits is 463050, while the sum is 45.

The square root of 77352975 is about 8795.0540077932. The cubic root of 77352975 is about 426.0811688222.

The spelling of 77352975 in words is "seventy-seven million, three hundred fifty-two thousand, nine hundred seventy-five".