76516000 has 192 divisors, whose sum is σ = 215115264. Its totient is φ = 26496000.

The previous prime is 76515977. The next prime is 76516043. The reversal of 76516000 is 61567.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1627977 + ... + 1628023.

It is an arithmetic number, because the mean of its divisors is an integer number (1120392).

Almost surely, 2^76516000 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 76516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107557632).

76516000 is an abundant number, since it is smaller than the sum of its proper divisors (138599264).

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

76516000 is a wasteful number, since it uses less digits than its factorization.

76516000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 76516000 is about 8747.3424535684. The cubic root of 76516000 is about 424.5388307910.

Adding to 76516000 its reverse (61567), we get a palindrome (76577567).

The spelling of 76516000 in words is "seventy-six million, five hundred sixteen thousand".