763980840 has 192 divisors, whose sum is σ = 2857196160. Its totient is φ = 173422080.

The previous prime is 763980787. The next prime is 763980853. The reversal of 763980840 is 48089367.

It is a happy number.

763980840 is a `hidden beast` number, since 7 + 639 + 8 + 0 + 8 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 394675 + ... + 396605.

It is an arithmetic number, because the mean of its divisors is an integer number (14881230).

Almost surely, 2^763980840 is an apocalyptic number.

763980840 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 763980840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428598080).

763980840 is an abundant number, since it is smaller than the sum of its proper divisors (2093215320).

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

763980840 is a wasteful number, since it uses less digits than its factorization.

763980840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 763980840 is about 27640.2033277615. The cubic root of 763980840 is about 914.1711027743.

The spelling of 763980840 in words is "seven hundred sixty-three million, nine hundred eighty thousand, eight hundred forty".