76443536 has 120 divisors (see below), whose sum is σ = 181446720. Its totient is φ = 30868992.

The previous prime is 76443533. The next prime is 76443547. The reversal of 76443536 is 63534467.

It is a super-2 number, since 2×76443536² = 11687228392366592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 76443536.

It is not an unprimeable number, because it can be changed into a prime (76443533) 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 23 ways as a sum of consecutive naturals, for example, 2635970 + ... + 2635998.

It is an arithmetic number, because the mean of its divisors is an integer number (1512056).

Almost surely, 2^76443536 is an apocalyptic number.

76443536 is a gapful number since it is divisible by the number (76) 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 76443536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90723360).

76443536 is an abundant number, since it is smaller than the sum of its proper divisors (105003184).

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

76443536 is a wasteful number, since it uses less digits than its factorization.

76443536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 86 counting only the distinct ones).

The product of its digits is 181440, while the sum is 38.

The square root of 76443536 is about 8743.1994144020. The cubic root of 76443536 is about 424.4047695119.

The spelling of 76443536 in words is "seventy-six million, four hundred forty-three thousand, five hundred thirty-six".