76385010 has 64 divisors (see below), whose sum is σ = 200204928. Its totient is φ = 18537984.

The previous prime is 76384981. The next prime is 76385017. The reversal of 76385010 is 1058367.

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (76385017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27129 + ... + 29811.

It is an arithmetic number, because the mean of its divisors is an integer number (3128202).

Almost surely, 2^76385010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76385010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100102464).

76385010 is an abundant number, since it is smaller than the sum of its proper divisors (123819918).

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

76385010 is a wasteful number, since it uses less digits than its factorization.

76385010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 76385010 is about 8739.8518294076. The cubic root of 76385010 is about 424.2964322280.

The spelling of 76385010 in words is "seventy-six million, three hundred eighty-five thousand, ten".