763048 has 64 divisors (see below), whose sum is σ = 1814400. Its totient is φ = 295680.

The previous prime is 763043. The next prime is 763067. The reversal of 763048 is 840367.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (763043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26298 + ... + 26326.

It is an arithmetic number, because the mean of its divisors is an integer number (28350).

2⁷⁶³⁰⁴⁸ 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 763048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907200).

763048 is an abundant number, since it is smaller than the sum of its proper divisors (1051352).

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

763048 is a wasteful number, since it uses less digits than its factorization.

763048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 763048 is about 873.5261873579. The cubic root of 763048 is about 91.3798875859.

The spelling of 763048 in words is "seven hundred sixty-three thousand, forty-eight".