763413084 has 288 divisors, whose sum is σ = 2509678080. Its totient is φ = 190439424.

The previous prime is 763413073. The next prime is 763413089. The reversal of 763413084 is 480314367.

763413084 is a `hidden beast` number, since 7 + 6 + 341 + 308 + 4 = 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 (763413089) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6755812 + ... + 6755924.

It is an arithmetic number, because the mean of its divisors is an integer number (8714160).

Almost surely, 2^763413084 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 763413084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254839040).

763413084 is an abundant number, since it is smaller than the sum of its proper divisors (1746264996).

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

763413084 is a wasteful number, since it uses less digits than its factorization.

763413084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 763413084 is about 27629.9309445391. The cubic root of 763413084 is about 913.9445897839.

The spelling of 763413084 in words is "seven hundred sixty-three million, four hundred thirteen thousand, eighty-four".