76536720 has 360 divisors, whose sum is σ = 302665896. Its totient is φ = 17252352.

The previous prime is 76536697. The next prime is 76536721. The reversal of 76536720 is 2763567.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 16257024 + 60279696 = 4032^2 + 7764^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76536721) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2068542 + ... + 2068578.

Almost surely, 2^76536720 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 76536720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151332948).

76536720 is an abundant number, since it is smaller than the sum of its proper divisors (226129176).

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

76536720 is a wasteful number, since it uses less digits than its factorization.

76536720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 76536720 is about 8748.5267331134. The cubic root of 76536720 is about 424.5771480522.

The spelling of 76536720 in words is "seventy-six million, five hundred thirty-six thousand, seven hundred twenty".