76830600 has 192 divisors, whose sum is σ = 297123840. Its totient is φ = 15955200.

The previous prime is 76830587. The next prime is 76830629. The reversal of 76830600 is 603867.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 45369 + ... + 47031.

It is an arithmetic number, because the mean of its divisors is an integer number (1547520).

Almost surely, 2^76830600 is an apocalyptic number.

76830600 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 76830600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148561920).

76830600 is an abundant number, since it is smaller than the sum of its proper divisors (220293240).

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

76830600 is a wasteful number, since it uses less digits than its factorization.

76830600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 76830600 is about 8765.3066118648. The cubic root of 76830600 is about 425.1198739134.

The spelling of 76830600 in words is "seventy-six million, eight hundred thirty thousand, six hundred".