77463144 has 96 divisors (see below), whose sum is σ = 233850240. Its totient is φ = 22963200.

The previous prime is 77463131. The next prime is 77463187. The reversal of 77463144 is 44136477.

It is a happy number.

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 77463099 and 77463108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36184 + ... + 38264.

It is an arithmetic number, because the mean of its divisors is an integer number (2435940).

Almost surely, 2^77463144 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 77463144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116925120).

77463144 is an abundant number, since it is smaller than the sum of its proper divisors (156387096).

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

77463144 is a wasteful number, since it uses less digits than its factorization.

77463144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2144 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 77463144 is about 8801.3149017633. The cubic root of 77463144 is about 426.2833531118.

The spelling of 77463144 in words is "seventy-seven million, four hundred sixty-three thousand, one hundred forty-four".