76983060 has 192 divisors, whose sum is σ = 283207680. Its totient is φ = 15137280.

The previous prime is 76983043. The next prime is 76983061. The reversal of 76983060 is 6038967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76983061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87342 + ... + 88218.

It is an arithmetic number, because the mean of its divisors is an integer number (1475040).

Almost surely, 2^76983060 is an apocalyptic number.

76983060 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76983060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141603840).

76983060 is an abundant number, since it is smaller than the sum of its proper divisors (206224620).

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

76983060 is a wasteful number, since it uses less digits than its factorization.

76983060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 76983060 is about 8773.9990882151. Note that the first 3 decimals coincide. The cubic root of 76983060 is about 425.4008858703.

The spelling of 76983060 in words is "seventy-six million, nine hundred eighty-three thousand, sixty".