763350840 has 384 divisors, whose sum is σ = 3032640000. Its totient is φ = 162653184.

The previous prime is 763350817. The next prime is 763350857. The reversal of 763350840 is 48053367.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 763350795 and 763350804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5123086 + ... + 5123234.

It is an arithmetic number, because the mean of its divisors is an integer number (7897500).

Almost surely, 2^763350840 is an apocalyptic number.

763350840 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 763350840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516320000).

763350840 is an abundant number, since it is smaller than the sum of its proper divisors (2269289160).

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

763350840 is a wasteful number, since it uses less digits than its factorization.

763350840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 763350840 is about 27628.8045343985. The cubic root of 763350840 is about 913.9197499716.

The spelling of 763350840 in words is "seven hundred sixty-three million, three hundred fifty thousand, eight hundred forty".