77114480 has 80 divisors (see below), whose sum is σ = 190032480. Its totient is φ = 29051904.

The previous prime is 77114473. The next prime is 77114519. The reversal of 77114480 is 8441177.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 99374 + ... + 100146.

It is an arithmetic number, because the mean of its divisors is an integer number (2375406).

Almost surely, 2^77114480 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 77114480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95016240).

77114480 is an abundant number, since it is smaller than the sum of its proper divisors (112918000).

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

77114480 is a wasteful number, since it uses less digits than its factorization.

77114480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The square root of 77114480 is about 8781.4850680281. The cubic root of 77114480 is about 425.6428196219.

It can be divided in two parts, 771 and 14480, that added together give a palindrome (15251).

The spelling of 77114480 in words is "seventy-seven million, one hundred fourteen thousand, four hundred eighty".