76553136 has 120 divisors (see below), whose sum is σ = 241413120. Its totient is φ = 22435200.

The previous prime is 76553117. The next prime is 76553137. The reversal of 76553136 is 63135567.

It is a happy number.

76553136 is a `hidden beast` number, since 76 + 553 + 1 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 76553136.

It is not an unprimeable number, because it can be changed into a prime (76553137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48325 + ... + 49883.

It is an arithmetic number, because the mean of its divisors is an integer number (2011776).

Almost surely, 2^76553136 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 76553136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120706560).

76553136 is an abundant number, since it is smaller than the sum of its proper divisors (164859984).

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

76553136 is a wasteful number, since it uses less digits than its factorization.

76553136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1606 counting only the distinct ones).

The product of its digits is 56700, while the sum is 36.

The square root of 76553136 is about 8749.4648979238. The cubic root of 76553136 is about 424.6075010654.

Subtracting from 76553136 its reverse (63135567), we obtain a square (13417569 = 3663²).

It can be divided in two parts, 765531 and 36, that added together give a palindrome (765567).

The spelling of 76553136 in words is "seventy-six million, five hundred fifty-three thousand, one hundred thirty-six".