763935480 has 576 divisors, whose sum is σ = 3277946880. Its totient is φ = 152409600.

The previous prime is 763935479. The next prime is 763935499. The reversal of 763935480 is 84539367.

763935480 is a `hidden beast` number, since 7 + 639 + 3 + 5 + 4 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6015177 + ... + 6015303.

It is an arithmetic number, because the mean of its divisors is an integer number (5690880).

Almost surely, 2^763935480 is an apocalyptic number.

763935480 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 763935480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638973440).

763935480 is an abundant number, since it is smaller than the sum of its proper divisors (2514011400).

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

763935480 is a wasteful number, since it uses less digits than its factorization.

763935480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 763935480 is about 27639.3827716901. The cubic root of 763935480 is about 914.1530099899.

The spelling of 763935480 in words is "seven hundred sixty-three million, nine hundred thirty-five thousand, four hundred eighty".