76313132600 has 192 divisors, whose sum is σ = 190530662400. Its totient is φ = 28324730880.

The previous prime is 76313132591. The next prime is 76313132603. The reversal of 76313132600 is 623131367.

It is a super-3 number, since 3×76313132600³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76313132603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125721497 + ... + 125722103.

It is an arithmetic number, because the mean of its divisors is an integer number (992347200).

Almost surely, 2^76313132600 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 76313132600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95265331200).

76313132600 is an abundant number, since it is smaller than the sum of its proper divisors (114217529800).

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

76313132600 is a wasteful number, since it uses less digits than its factorization.

76313132600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 32.

Adding to 76313132600 its reverse (623131367), we get a palindrome (76936263967).

The spelling of 76313132600 in words is "seventy-six billion, three hundred thirteen million, one hundred thirty-two thousand, six hundred".