76653052 has 72 divisors (see below), whose sum is σ = 163404864. Its totient is φ = 31344768.

The previous prime is 76653037. The next prime is 76653053. The reversal of 76653052 is 25035667.

It is a junction number, because it is equal to n+sod(n) for n = 76652999 and 76653017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76653053) 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 23 ways as a sum of consecutive naturals, for example, 488158 + ... + 488314.

It is an arithmetic number, because the mean of its divisors is an integer number (2269512).

Almost surely, 2^76653052 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 76653052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81702432).

76653052 is an abundant number, since it is smaller than the sum of its proper divisors (86751812).

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

76653052 is a wasteful number, since it uses less digits than its factorization.

76653052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 34.

The square root of 76653052 is about 8755.1728709375. The cubic root of 76653052 is about 424.7921511927.

The spelling of 76653052 in words is "seventy-six million, six hundred fifty-three thousand, fifty-two".