76353200 has 240 divisors, whose sum is σ = 238389504. Its totient is φ = 22809600.

The previous prime is 76353181. The next prime is 76353209. The reversal of 76353200 is 235367.

It is a super-2 number, since 2×76353200² = 11659622300480000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 76353200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76353209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1139567 + ... + 1139633.

Almost surely, 2^76353200 is an apocalyptic number.

76353200 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 76353200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119194752).

76353200 is an abundant number, since it is smaller than the sum of its proper divisors (162036304).

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

76353200 is a wasteful number, since it uses less digits than its factorization.

76353200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 26.

The square root of 76353200 is about 8738.0318150027. The cubic root of 76353200 is about 424.2375256289.

Adding to 76353200 its reverse (235367), we get a palindrome (76588567).

The spelling of 76353200 in words is "seventy-six million, three hundred fifty-three thousand, two hundred".