76142400 has 168 divisors, whose sum is σ = 258897120. Its totient is φ = 19568640.

The previous prime is 76142399. The next prime is 76142401. The reversal of 76142400 is 424167.

It is an interprime number because it is at equal distance from previous prime (76142399) and next prime (76142401).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76142401) 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 23 ways as a sum of consecutive naturals, for example, 138927 + ... + 139473.

Almost surely, 2^76142400 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 76142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129448560).

76142400 is an abundant number, since it is smaller than the sum of its proper divisors (182754720).

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

76142400 is a wasteful number, since it uses less digits than its factorization.

76142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 76142400 is about 8725.9612650985. The cubic root of 76142400 is about 423.8467465598.

Adding to 76142400 its reverse (424167), we get a palindrome (76566567).

The spelling of 76142400 in words is "seventy-six million, one hundred forty-two thousand, four hundred".