76654032 has 240 divisors, whose sum is σ = 261233280. Its totient is φ = 19160064.

The previous prime is 76654031. The next prime is 76654033. The reversal of 76654032 is 23045667.

It is an interprime number because it is at equal distance from previous prime (76654031) and next prime (76654033).

It is a junction number, because it is equal to n+sod(n) for n = 76653984 and 76654002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76654031) by changing a digit.

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, 703194 + ... + 703302.

It is an arithmetic number, because the mean of its divisors is an integer number (1088472).

Almost surely, 2^76654032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76654032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130616640).

76654032 is an abundant number, since it is smaller than the sum of its proper divisors (184579248).

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

76654032 is a wasteful number, since it uses less digits than its factorization.

76654032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 76654032 is about 8755.2288376718. The cubic root of 76654032 is about 424.7939614904.

Adding to 76654032 its reverse (23045667), we get a palindrome (99699699).

The spelling of 76654032 in words is "seventy-six million, six hundred fifty-four thousand, thirty-two".