763382880 has 480 divisors, whose sum is σ = 3042857664. Its totient is φ = 178827264.

The previous prime is 763382869. The next prime is 763382891. The reversal of 763382880 is 88283367.

763382880 is a `hidden beast` number, since 7 + 633 + 8 + 2 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (763382869) and next prime (763382891).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3874942 + ... + 3875138.

Almost surely, 2^763382880 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 763382880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521428832).

763382880 is an abundant number, since it is smaller than the sum of its proper divisors (2279474784).

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

763382880 is a wasteful number, since it uses less digits than its factorization.

763382880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 763382880 is about 27629.3843579621. The cubic root of 763382880 is about 913.9325363941.

The spelling of 763382880 in words is "seven hundred sixty-three million, three hundred eighty-two thousand, eight hundred eighty".