763095480 has 256 divisors, whose sum is σ = 2782080000. Its totient is φ = 163565568.

The previous prime is 763095469. The next prime is 763095491. The reversal of 763095480 is 84590367.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (763095469) and next prime (763095491).

It is a super-3 number, since 3×763095480³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2186346 + ... + 2186694.

It is an arithmetic number, because the mean of its divisors is an integer number (10867500).

Almost surely, 2^763095480 is an apocalyptic number.

763095480 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 763095480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391040000).

763095480 is an abundant number, since it is smaller than the sum of its proper divisors (2018984520).

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

763095480 is a wasteful number, since it uses less digits than its factorization.

763095480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 763095480 is about 27624.1828838429. The cubic root of 763095480 is about 913.8178289136.

The spelling of 763095480 in words is "seven hundred sixty-three million, ninety-five thousand, four hundred eighty".