77073852 has 48 divisors (see below), whose sum is σ = 193294080. Its totient is φ = 23814912.

The previous prime is 77073839. The next prime is 77073853. The reversal of 77073852 is 25837077.

It is a self number, because there is not a number n which added to its sum of digits gives 77073852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77073853) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10849 + ... + 16487.

It is an arithmetic number, because the mean of its divisors is an integer number (4026960).

Almost surely, 2^77073852 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 77073852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96647040).

77073852 is an abundant number, since it is smaller than the sum of its proper divisors (116220228).

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

77073852 is a wasteful number, since it uses less digits than its factorization.

77073852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5730 (or 5728 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 39.

The square root of 77073852 is about 8779.1714871051. The cubic root of 77073852 is about 425.5680560828.

The spelling of 77073852 in words is "seventy-seven million, seventy-three thousand, eight hundred fifty-two".