763488 has 72 divisors (see below), whose sum is σ = 2378376. Its totient is φ = 230400.

The previous prime is 763481. The next prime is 763493. The reversal of 763488 is 884367.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×763488² = 1165827852288, which contains 22 as substring.

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

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (763481) by changing a digit.

763488 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3048 + ... + 3288.

It is an arithmetic number, because the mean of its divisors is an integer number (33033).

2⁷⁶³⁴⁸⁸ 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 763488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189188).

763488 is an abundant number, since it is smaller than the sum of its proper divisors (1614888).

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

763488 is a wasteful number, since it uses less digits than its factorization.

763488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 257 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 763488 is about 873.7780038431. The cubic root of 763488 is about 91.3974484841.

The spelling of 763488 in words is "seven hundred sixty-three thousand, four hundred eighty-eight".