763140 has 96 divisors (see below), whose sum is σ = 2580480. Its totient is φ = 164736.

The previous prime is 763123. The next prime is 763141. The reversal of 763140 is 41367.

It is a super-3 number, since 3×763140³ = 1333318508541432000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (763141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9621 + ... + 9699.

It is an arithmetic number, because the mean of its divisors is an integer number (26880).

2⁷⁶³¹⁴⁰ is an apocalyptic number.

763140 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 763140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290240).

763140 is an abundant number, since it is smaller than the sum of its proper divisors (1817340).

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

763140 is a wasteful number, since it uses less digits than its factorization.

763140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 763140 is about 873.5788458977. The cubic root of 763140 is about 91.3835599682.

It can be divided in two parts, 763 and 140, that added together give a triangular number (903 = T₄₂).

The spelling of 763140 in words is "seven hundred sixty-three thousand, one hundred forty".