76253800 has 144 divisors (see below), whose sum is σ = 213736320. Its totient is φ = 25200000.

The previous prime is 76253797. The next prime is 76253819. The reversal of 76253800 is 835267.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 303675 + ... + 303925.

It is an arithmetic number, because the mean of its divisors is an integer number (1484280).

Almost surely, 2^76253800 is an apocalyptic number.

76253800 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 76253800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106868160).

76253800 is an abundant number, since it is smaller than the sum of its proper divisors (137482520).

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

76253800 is a wasteful number, since it uses less digits than its factorization.

76253800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 76253800 is about 8732.3421829427. The cubic root of 76253800 is about 424.0533485739.

The spelling of 76253800 in words is "seventy-six million, two hundred fifty-three thousand, eight hundred".