763420392 has 144 divisors (see below), whose sum is σ = 2415911940. Its totient is φ = 217147392.

The previous prime is 763420367. The next prime is 763420403. The reversal of 763420392 is 293024367.

It is a happy number.

763420392 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 2 ways, for example, as 641406276 + 122014116 = 25326^2 + 11046^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1245078 + ... + 1245690.

Almost surely, 2^763420392 is an apocalyptic number.

763420392 is a gapful number since it is divisible by the number (72) 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 763420392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207955970).

763420392 is an abundant number, since it is smaller than the sum of its proper divisors (1652491548).

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

763420392 is a wasteful number, since it uses less digits than its factorization.

763420392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 763420392 is about 27630.0631921101. The cubic root of 763420392 is about 913.9475061106.

The spelling of 763420392 in words is "seven hundred sixty-three million, four hundred twenty thousand, three hundred ninety-two".