76531400 has 96 divisors (see below), whose sum is σ = 198871200. Its totient is φ = 27148800.

The previous prime is 76531391. The next prime is 76531409. The reversal of 76531400 is 413567.

It is an interprime number because it is at equal distance from previous prime (76531391) and next prime (76531409).

It is a self number, because there is not a number n which added to its sum of digits gives 76531400.

It is not an unprimeable number, because it can be changed into a prime (76531409) 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, 94196 + ... + 95004.

It is an arithmetic number, because the mean of its divisors is an integer number (2071575).

Almost surely, 2^76531400 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 76531400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99435600).

76531400 is an abundant number, since it is smaller than the sum of its proper divisors (122339800).

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

76531400 is a wasteful number, since it uses less digits than its factorization.

76531400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 76531400 is about 8748.2226766355. Note that the first 3 decimals coincide. The cubic root of 76531400 is about 424.5673104964.

Adding to 76531400 its reverse (413567), we get a palindrome (76944967).

The spelling of 76531400 in words is "seventy-six million, five hundred thirty-one thousand, four hundred".