76446144 has 168 divisors, whose sum is σ = 239408208. Its totient is φ = 23224320.

The previous prime is 76446133. The next prime is 76446151. The reversal of 76446144 is 44164467.

76446144 is a `hidden beast` number, since 7 + 644 + 6 + 1 + 4 + 4 = 666.

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 = 76446099 and 76446108.

It is a congruent number.

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, 362199 + ... + 362409.

Almost surely, 2^76446144 is an apocalyptic number.

76446144 is a gapful number since it is divisible by the number (74) 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 76446144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119704104).

76446144 is an abundant number, since it is smaller than the sum of its proper divisors (162962064).

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

76446144 is a wasteful number, since it uses less digits than its factorization.

76446144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 270 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 76446144 is about 8743.3485576180. The cubic root of 76446144 is about 424.4095958848.

The spelling of 76446144 in words is "seventy-six million, four hundred forty-six thousand, one hundred forty-four".