77172480 has 576 divisors, whose sum is σ = 353203200. Its totient is φ = 15482880.

The previous prime is 77172463. The next prime is 77172481. The reversal of 77172480 is 8427177.

77172480 is a `hidden beast` number, since 7 + 7 + 172 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×77172480³ (a number of 25 digits) contains 333 as substring.

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 (77172481) 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, 2661106 + ... + 2661134.

It is an arithmetic number, because the mean of its divisors is an integer number (613200).

Almost surely, 2^77172480 is an apocalyptic number.

77172480 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 77172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176601600).

77172480 is an abundant number, since it is smaller than the sum of its proper divisors (276030720).

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

77172480 is a wasteful number, since it uses less digits than its factorization.

77172480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 77172480 is about 8784.7868500038. The cubic root of 77172480 is about 425.7495055810.

The spelling of 77172480 in words is "seventy-seven million, one hundred seventy-two thousand, four hundred eighty".