77514144 has 48 divisors (see below), whose sum is σ = 204428448. Its totient is φ = 25716992.

The previous prime is 77514133. The next prime is 77514191. The reversal of 77514144 is 44141577.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20014 + ... + 23570.

It is an arithmetic number, because the mean of its divisors is an integer number (4258926).

Almost surely, 2^77514144 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 77514144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102214224).

77514144 is an abundant number, since it is smaller than the sum of its proper divisors (126914304).

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

77514144 is a wasteful number, since it uses less digits than its factorization.

77514144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3797 (or 3789 counting only the distinct ones).

The product of its digits is 15680, while the sum is 33.

The square root of 77514144 is about 8804.2117193988. The cubic root of 77514144 is about 426.3768843942.

The spelling of 77514144 in words is "seventy-seven million, five hundred fourteen thousand, one hundred forty-four".