77252682 has 64 divisors (see below), whose sum is σ = 175988736. Its totient is φ = 22438080.

The previous prime is 77252671. The next prime is 77252701. The reversal of 77252682 is 28625277.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 77252682.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 103603 + ... + 104345.

It is an arithmetic number, because the mean of its divisors is an integer number (2749824).

Almost surely, 2^77252682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77252682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87994368).

77252682 is an abundant number, since it is smaller than the sum of its proper divisors (98736054).

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

77252682 is a wasteful number, since it uses less digits than its factorization.

77252682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835.

The product of its digits is 94080, while the sum is 39.

The square root of 77252682 is about 8789.3504879485. The cubic root of 77252682 is about 425.8969421623.

The spelling of 77252682 in words is "seventy-seven million, two hundred fifty-two thousand, six hundred eighty-two".