763321680 has 240 divisors, whose sum is σ = 2887672320. Its totient is φ = 179020800.

The previous prime is 763321661. The next prime is 763321753. The reversal of 763321680 is 86123367.

It is a happy number.

763321680 is a `hidden beast` number, since 7 + 633 + 2 + 16 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 243966 + ... + 247074.

It is an arithmetic number, because the mean of its divisors is an integer number (12031968).

Almost surely, 2^763321680 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 763321680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443836160).

763321680 is an abundant number, since it is smaller than the sum of its proper divisors (2124350640).

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

763321680 is a wasteful number, since it uses less digits than its factorization.

763321680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3170 (or 3161 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 763321680 is about 27628.2768192300. The cubic root of 763321680 is about 913.9081125794.

The spelling of 763321680 in words is "seven hundred sixty-three million, three hundred twenty-one thousand, six hundred eighty".