76736000 has 160 divisors (see below), whose sum is σ = 210656160. Its totient is φ = 27648000.

The previous prime is 76735991. The next prime is 76736057. The reversal of 76736000 is 63767.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703946 + ... + 704054.

It is an arithmetic number, because the mean of its divisors is an integer number (1316601).

Almost surely, 2^76736000 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 76736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105328080).

76736000 is an abundant number, since it is smaller than the sum of its proper divisors (133920160).

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

76736000 is a wasteful number, since it uses less digits than its factorization.

76736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 29.

The square root of 76736000 is about 8759.9086753230. The cubic root of 76736000 is about 424.9453216854.

Adding to 76736000 its reverse (63767), we get a palindrome (76799767).

The spelling of 76736000 in words is "seventy-six million, seven hundred thirty-six thousand".