763152 has 40 divisors (see below), whose sum is σ = 2124864. Its totient is φ = 234624.

The previous prime is 763141. The next prime is 763157. The reversal of 763152 is 251367.

It is a super-3 number, since 3×763152³ = 1333381406857703424, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (763157) by changing a digit.

763152 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 7 ways as a sum of consecutive naturals, for example, 13 + ... + 1235.

2⁷⁶³¹⁵² 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 763152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062432).

763152 is an abundant number, since it is smaller than the sum of its proper divisors (1361712).

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

763152 is a wasteful number, since it uses less digits than its factorization.

763152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1241 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 763152 is about 873.5857141689. The cubic root of 763152 is about 91.3840389528.

The spelling of 763152 in words is "seven hundred sixty-three thousand, one hundred fifty-two".