763544016 has 160 divisors (see below), whose sum is σ = 2307888000. Its totient is φ = 241339392.

The previous prime is 763544009. The next prime is 763544017. The reversal of 763544016 is 610445367.

It is a happy number.

763544016 is a `hidden beast` number, since 7 + 635 + 4 + 4 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (763544017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 738636 + ... + 739668.

It is an arithmetic number, because the mean of its divisors is an integer number (14424300).

Almost surely, 2^763544016 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 763544016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153944000).

763544016 is an abundant number, since it is smaller than the sum of its proper divisors (1544343984).

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

763544016 is a wasteful number, since it uses less digits than its factorization.

763544016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 763544016 is about 27632.3002299845. The cubic root of 763544016 is about 913.9968366190.

The spelling of 763544016 in words is "seven hundred sixty-three million, five hundred forty-four thousand, sixteen".