76210800 has 120 divisors (see below), whose sum is σ = 250244400. Its totient is φ = 19814400.

The previous prime is 76210793. The next prime is 76210801. The reversal of 76210800 is 801267.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76210801) 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 23 ways as a sum of consecutive naturals, for example, 48426 + ... + 49974.

It is an arithmetic number, because the mean of its divisors is an integer number (2085370).

Almost surely, 2^76210800 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 76210800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125122200).

76210800 is an abundant number, since it is smaller than the sum of its proper divisors (174033600).

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

76210800 is a wasteful number, since it uses less digits than its factorization.

76210800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 76210800 is about 8729.8797242574. The cubic root of 76210800 is about 423.9736247982.

The spelling of 76210800 in words is "seventy-six million, two hundred ten thousand, eight hundred".