763720 has 32 divisors (see below), whose sum is σ = 1752120. Its totient is φ = 299520.

The previous prime is 763699. The next prime is 763739. The reversal of 763720 is 27367.

763720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 145924 + 617796 = 382^2 + 786^2 .

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

763720 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, 2284 + ... + 2596.

2⁷⁶³⁷²⁰ 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 763720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876060).

763720 is an abundant number, since it is smaller than the sum of its proper divisors (988400).

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

763720 is a wasteful number, since it uses less digits than its factorization.

763720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 25.

The square root of 763720 is about 873.9107505918. The cubic root of 763720 is about 91.4067051503.

It can be divided in two parts, 7 and 63720, that multiplied together give a triangular number (446040 = T₉₄₄).

The spelling of 763720 in words is "seven hundred sixty-three thousand, seven hundred twenty".