763045920 has 480 divisors, whose sum is σ = 3319481088. Its totient is φ = 160745472.

The previous prime is 763045919. The next prime is 763045961. The reversal of 763045920 is 29540367.

763045920 is a `hidden beast` number, since 7 + 63 + 0 + 4 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

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 79 ways as a sum of consecutive naturals, for example, 1179037 + ... + 1179683.

Almost surely, 2^763045920 is an apocalyptic number.

763045920 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 763045920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659740544).

763045920 is an abundant number, since it is smaller than the sum of its proper divisors (2556435168).

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

763045920 is a wasteful number, since it uses less digits than its factorization.

763045920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 763045920 is about 27623.2858291696. The cubic root of 763045920 is about 913.7980455473.

The spelling of 763045920 in words is "seven hundred sixty-three million, forty-five thousand, nine hundred twenty".