76533000 has 128 divisors (see below), whose sum is σ = 242161920. Its totient is φ = 20121600.

The previous prime is 76532999. The next prime is 76533011. The reversal of 76533000 is 33567.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290869 + ... + 291131.

It is an arithmetic number, because the mean of its divisors is an integer number (1891890).

Almost surely, 2^76533000 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 76533000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121080960).

76533000 is an abundant number, since it is smaller than the sum of its proper divisors (165628920).

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

76533000 is a wasteful number, since it uses less digits than its factorization.

76533000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 24.

The square root of 76533000 is about 8748.3141233040. The cubic root of 76533000 is about 424.5702692078.

Adding to 76533000 its reverse (33567), we get a palindrome (76566567).

The spelling of 76533000 in words is "seventy-six million, five hundred thirty-three thousand".