76542600 has 192 divisors, whose sum is σ = 253108800. Its totient is φ = 19102720.

The previous prime is 76542589. The next prime is 76542601. The reversal of 76542600 is 624567.

It is a super-2 number, since 2×76542600² = 11717539229520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (76542601) 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 47 ways as a sum of consecutive naturals, for example, 922159 + ... + 922241.

It is an arithmetic number, because the mean of its divisors is an integer number (1318275).

Almost surely, 2^76542600 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 76542600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126554400).

76542600 is an abundant number, since it is smaller than the sum of its proper divisors (176566200).

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

76542600 is a wasteful number, since it uses less digits than its factorization.

76542600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 76542600 is about 8748.8627832422. The cubic root of 76542600 is about 424.5880206099.

It can be divided in two parts, 765 and 42600, that added together give a triangular number (43365 = T₂₉₄).

The spelling of 76542600 in words is "seventy-six million, five hundred forty-two thousand, six hundred".