763035840 has 252 divisors, whose sum is σ = 3053583936. Its totient is φ = 174375936.

The previous prime is 763035821. The next prime is 763035841. The reversal of 763035840 is 48530367.

It is a happy number.

763035840 is a `hidden beast` number, since 76 + 3 + 0 + 3 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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 = 763035795 and 763035804.

It is not an unprimeable number, because it can be changed into a prime (763035841) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 138417 + ... + 143823.

Almost surely, 2^763035840 is an apocalyptic number.

763035840 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 763035840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526791968).

763035840 is an abundant number, since it is smaller than the sum of its proper divisors (2290548096).

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

763035840 is a wasteful number, since it uses less digits than its factorization.

763035840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5444 (or 5424 counting only the distinct ones).

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

The square root of 763035840 is about 27623.1033738065. The cubic root of 763035840 is about 913.7940217070.

The spelling of 763035840 in words is "seven hundred sixty-three million, thirty-five thousand, eight hundred forty".