77535052 has 36 divisors (see below), whose sum is σ = 160030920. Its totient is φ = 32768064.

The previous prime is 77535043. The next prime is 77535071. The reversal of 77535052 is 25053577.

It is a junction number, because it is equal to n+sod(n) for n = 77534999 and 77535017.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11599 + ... + 17017.

Almost surely, 2^77535052 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 77535052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80015460).

77535052 is an abundant number, since it is smaller than the sum of its proper divisors (82495868).

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

77535052 is a wasteful number, since it uses less digits than its factorization.

77535052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5510 (or 5501 counting only the distinct ones).

The product of its (nonzero) digits is 36750, while the sum is 34.

The square root of 77535052 is about 8805.3990255979. The cubic root of 77535052 is about 426.4152166952.

The spelling of 77535052 in words is "seventy-seven million, five hundred thirty-five thousand, fifty-two".