76513300 has 36 divisors (see below), whose sum is σ = 167918940. Its totient is φ = 30257920.

The previous prime is 76513289. The next prime is 76513357. The reversal of 76513300 is 331567.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2999824 + 73513476 = 1732^2 + 8574^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4602 + ... + 13198.

It is an arithmetic number, because the mean of its divisors is an integer number (4664415).

Almost surely, 2^76513300 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 76513300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83959470).

76513300 is an abundant number, since it is smaller than the sum of its proper divisors (91405640).

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

76513300 is a wasteful number, since it uses less digits than its factorization.

76513300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8700 (or 8693 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 25.

The square root of 76513300 is about 8747.1881196188. The cubic root of 76513300 is about 424.5338372021.

Adding to 76513300 its reverse (331567), we get a palindrome (76844867).

The spelling of 76513300 in words is "seventy-six million, five hundred thirteen thousand, three hundred".