77316480 has 192 divisors, whose sum is σ = 276232320. Its totient is φ = 19906560.

The previous prime is 77316479. The next prime is 77316487. The reversal of 77316480 is 8461377.

77316480 is a `hidden beast` number, since 7 + 7 + 3 + 1 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77316487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178344 + ... + 178776.

It is an arithmetic number, because the mean of its divisors is an integer number (1438710).

Almost surely, 2^77316480 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 77316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138116160).

77316480 is an abundant number, since it is smaller than the sum of its proper divisors (198915840).

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

77316480 is a wasteful number, since it uses less digits than its factorization.

77316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 77316480 is about 8792.9790173752. The cubic root of 77316480 is about 426.0141501615.

The spelling of 77316480 in words is "seventy-seven million, three hundred sixteen thousand, four hundred eighty".