76116480 has 320 divisors, whose sum is σ = 286374528. Its totient is φ = 17039360.

The previous prime is 76116479. The next prime is 76116487. The reversal of 76116480 is 8461167.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76116487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1436134 + ... + 1436186.

Almost surely, 2^76116480 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 76116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143187264).

76116480 is an abundant number, since it is smaller than the sum of its proper divisors (210258048).

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

76116480 is a wasteful number, since it uses less digits than its factorization.

76116480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 76116480 is about 8724.4759154920. The cubic root of 76116480 is about 423.7986465327.

The spelling of 76116480 in words is "seventy-six million, one hundred sixteen thousand, four hundred eighty".