763764480 has 216 divisors, whose sum is σ = 2665065312. Its totient is φ = 201940992.

The previous prime is 763764479. The next prime is 763764481. The reversal of 763764480 is 84467367.

763764480 is a `hidden beast` number, since 7 + 637 + 6 + 4 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (763764479) and next prime (763764481).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (763764481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1923642 + ... + 1924038.

Almost surely, 2^763764480 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 763764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332532656).

763764480 is an abundant number, since it is smaller than the sum of its proper divisors (1901300832).

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

763764480 is a wasteful number, since it uses less digits than its factorization.

763764480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 763764480 is about 27636.2891865026. The cubic root of 763764480 is about 914.0847966246.

The spelling of 763764480 in words is "seven hundred sixty-three million, seven hundred sixty-four thousand, four hundred eighty".