76618980 has 192 divisors, whose sum is σ = 258048000. Its totient is φ = 18817920.

The previous prime is 76618979. The next prime is 76619029. The reversal of 76618980 is 8981667.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 384921 + ... + 385119.

It is an arithmetic number, because the mean of its divisors is an integer number (1344000).

Almost surely, 2^76618980 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 76618980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129024000).

76618980 is an abundant number, since it is smaller than the sum of its proper divisors (181429020).

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

76618980 is a wasteful number, since it uses less digits than its factorization.

76618980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 76618980 is about 8753.2268335740. The cubic root of 76618980 is about 424.7292023481.

It can be divided in two parts, 7661 and 8980, that added together give a square (16641 = 129²).

The spelling of 76618980 in words is "seventy-six million, six hundred eighteen thousand, nine hundred eighty".