763360416 has 576 divisors, whose sum is σ = 2976220800. Its totient is φ = 188116992.

The previous prime is 763360391. The next prime is 763360439. The reversal of 763360416 is 614063367.

It is a happy number.

763360416 is a `hidden beast` number, since 7 + 6 + 33 + 604 + 16 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10456956 + ... + 10457028.

It is an arithmetic number, because the mean of its divisors is an integer number (5167050).

Almost surely, 2^763360416 is an apocalyptic number.

763360416 is a gapful number since it is divisible by the number (76) 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 763360416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488110400).

763360416 is an abundant number, since it is smaller than the sum of its proper divisors (2212860384).

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

763360416 is a wasteful number, since it uses less digits than its factorization.

763360416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 763360416 is about 27628.9778312554. The cubic root of 763360416 is about 913.9235715691.

The spelling of 763360416 in words is "seven hundred sixty-three million, three hundred sixty thousand, four hundred sixteen".