76661200 has 240 divisors, whose sum is σ = 243555840. Its totient is φ = 22464000.

The previous prime is 76661191. The next prime is 76661203. The reversal of 76661200 is 216667.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76661203) 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, 585135 + ... + 585265.

It is an arithmetic number, because the mean of its divisors is an integer number (1014816).

Almost surely, 2^76661200 is an apocalyptic number.

76661200 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 76661200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121777920).

76661200 is an abundant number, since it is smaller than the sum of its proper divisors (166894640).

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

76661200 is a wasteful number, since it uses less digits than its factorization.

76661200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 76661200 is about 8755.6381834793. The cubic root of 76661200 is about 424.8072020560.

Adding to 76661200 its reverse (216667), we get a palindrome (76877867).

The spelling of 76661200 in words is "seventy-six million, six hundred sixty-one thousand, two hundred".