783349920 has 192 divisors, whose sum is σ = 2806151040. Its totient is φ = 203986944.

The previous prime is 783349883. The next prime is 783349927. The reversal of 783349920 is 29943387.

It is a happy number.

It is a super-2 number, since 2×783349920² = 1227274194328012800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (783349927) 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, 183652 + ... + 187868.

It is an arithmetic number, because the mean of its divisors is an integer number (14615370).

Almost surely, 2^783349920 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 783349920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403075520).

783349920 is an abundant number, since it is smaller than the sum of its proper divisors (2022801120).

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

783349920 is a wasteful number, since it uses less digits than its factorization.

783349920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4284 (or 4270 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 783349920 is about 27988.3890211638. The cubic root of 783349920 is about 921.8323280373.

It can be divided in two parts, 783 and 349920, that added together give a triangular number (350703 = T₈₃₇).

The spelling of 783349920 in words is "seven hundred eighty-three million, three hundred forty-nine thousand, nine hundred twenty".