76213200 has 240 divisors, whose sum is σ = 286854656. Its totient is φ = 16934400.

The previous prime is 76213183. The next prime is 76213213. The reversal of 76213200 is 231267.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 361095 + ... + 361305.

Almost surely, 2^76213200 is an apocalyptic number.

76213200 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 76213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143427328).

76213200 is an abundant number, since it is smaller than the sum of its proper divisors (210641456).

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

76213200 is a wasteful number, since it uses less digits than its factorization.

76213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 76213200 is about 8730.0171821137. The cubic root of 76213200 is about 423.9780752873.

Adding to 76213200 its reverse (231267), we get a palindrome (76444467).

The spelling of 76213200 in words is "seventy-six million, two hundred thirteen thousand, two hundred".