77786352 has 160 divisors (see below), whose sum is σ = 264268800. Its totient is φ = 21434112.

The previous prime is 77786341. The next prime is 77786353. The reversal of 77786352 is 25368777.

77786352 is a `hidden beast` number, since 7 + 7 + 7 + 8 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 77786298 and 77786307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77786353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87253 + ... + 88139.

It is an arithmetic number, because the mean of its divisors is an integer number (1651680).

Almost surely, 2^77786352 is an apocalyptic number.

77786352 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77786352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132134400).

77786352 is an abundant number, since it is smaller than the sum of its proper divisors (186482448).

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

77786352 is a wasteful number, since it uses less digits than its factorization.

77786352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 928 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 77786352 is about 8819.6571361930. The cubic root of 77786352 is about 426.8754067580.

The spelling of 77786352 in words is "seventy-seven million, seven hundred eighty-six thousand, three hundred fifty-two".