76311200 has 72 divisors (see below), whose sum is σ = 212923872. Its totient is φ = 26161920.

The previous prime is 76311173. The next prime is 76311211. The reversal of 76311200 is 211367.

It is a happy number.

It is a super-3 number, since 3×76311200³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1214 + ... + 12413.

It is an arithmetic number, because the mean of its divisors is an integer number (2957276).

Almost surely, 2^76311200 is an apocalyptic number.

76311200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106461936).

76311200 is an abundant number, since it is smaller than the sum of its proper divisors (136612672).

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

76311200 is a wasteful number, since it uses less digits than its factorization.

76311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13654 (or 13641 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 76311200 is about 8735.6281972163. The cubic root of 76311200 is about 424.1597238509.

Adding to 76311200 its reverse (211367), we get a palindrome (76522567).

The spelling of 76311200 in words is "seventy-six million, three hundred eleven thousand, two hundred".