77393052 has 108 divisors (see below), whose sum is σ = 218338120. Its totient is φ = 23094720.

The previous prime is 77393051. The next prime is 77393059. The reversal of 77393052 is 25039377.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 77392998 and 77393016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77393051) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 474723 + ... + 474885.

Almost surely, 2^77393052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77393052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109169060).

77393052 is an abundant number, since it is smaller than the sum of its proper divisors (140945068).

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

77393052 is a wasteful number, since it uses less digits than its factorization.

77393052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 77393052 is about 8797.3320955844. The cubic root of 77393052 is about 426.1547411133.

It can be divided in two parts, 77 and 393052, that added together give a square (393129 = 627²).

The spelling of 77393052 in words is "seventy-seven million, three hundred ninety-three thousand, fifty-two".