76582038 has 32 divisors (see below), whose sum is σ = 166596192. Its totient is φ = 23328000.

The previous prime is 76582031. The next prime is 76582039. The reversal of 76582038 is 83028567.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 76581987 and 76582005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76582031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3018 + ... + 12738.

It is an arithmetic number, because the mean of its divisors is an integer number (5206131).

Almost surely, 2^76582038 is an apocalyptic number.

76582038 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 76582038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83298096).

76582038 is an abundant number, since it is smaller than the sum of its proper divisors (90014154).

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

76582038 is a wasteful number, since it uses less digits than its factorization.

76582038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9840.

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 76582038 is about 8751.1163859247. The cubic root of 76582038 is about 424.6609300193.

The spelling of 76582038 in words is "seventy-six million, five hundred eighty-two thousand, thirty-eight".