763378020 has 120 divisors (see below), whose sum is σ = 2477475000. Its totient is φ = 196535808.

The previous prime is 763378019. The next prime is 763378037. The reversal of 763378020 is 20873367.

It can be written as a sum of positive squares in 4 ways, for example, as 106378596 + 656999424 = 10314^2 + 25632^2 .

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 39 ways as a sum of consecutive naturals, for example, 38856 + ... + 55104.

It is an arithmetic number, because the mean of its divisors is an integer number (20645625).

Almost surely, 2^763378020 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 763378020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238737500).

763378020 is an abundant number, since it is smaller than the sum of its proper divisors (1714096980).

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

763378020 is a wasteful number, since it uses less digits than its factorization.

763378020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16299 (or 16288 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 763378020 is about 27629.2964079797. The cubic root of 763378020 is about 913.9305969036.

The spelling of 763378020 in words is "seven hundred sixty-three million, three hundred seventy-eight thousand, twenty".