763015680 has 640 divisors, whose sum is σ = 3299788800. Its totient is φ = 163233792.

The previous prime is 763015667. The next prime is 763015681. The reversal of 763015680 is 86510367.

763015680 is a `hidden beast` number, since 7 + 630 + 15 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 (763015681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9192919 + ... + 9193001.

It is an arithmetic number, because the mean of its divisors is an integer number (5155920).

Almost surely, 2^763015680 is an apocalyptic number.

763015680 is a gapful number since it is divisible by the number (70) 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 763015680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649894400).

763015680 is an abundant number, since it is smaller than the sum of its proper divisors (2536773120).

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

763015680 is a wasteful number, since it uses less digits than its factorization.

763015680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 763015680 is about 27622.7384594649. The cubic root of 763015680 is about 913.7859739200.

The spelling of 763015680 in words is "seven hundred sixty-three million, fifteen thousand, six hundred eighty".