77561484 has 144 divisors (see below), whose sum is σ = 245247744. Its totient is φ = 18564480.

The previous prime is 77561447. The next prime is 77561537. The reversal of 77561484 is 48416577.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131839 + ... + 132425.

Almost surely, 2^77561484 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 77561484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122623872).

77561484 is an abundant number, since it is smaller than the sum of its proper divisors (167686260).

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

77561484 is a wasteful number, since it uses less digits than its factorization.

77561484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 623 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 77561484 is about 8806.8997950471. The cubic root of 77561484 is about 426.4636667239.

The spelling of 77561484 in words is "seventy-seven million, five hundred sixty-one thousand, four hundred eighty-four".