763268000 has 288 divisors, whose sum is σ = 2195968320. Its totient is φ = 259776000.

The previous prime is 763267997. The next prime is 763268027. The reversal of 763268000 is 862367.

It is a super-3 number, since 3×763268000³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9195959 + ... + 9196041.

It is an arithmetic number, because the mean of its divisors is an integer number (7624890).

Almost surely, 2^763268000 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 763268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097984160).

763268000 is an abundant number, since it is smaller than the sum of its proper divisors (1432700320).

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

763268000 is a wasteful number, since it uses less digits than its factorization.

763268000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 763268000 is about 27627.3053336731. The cubic root of 763268000 is about 913.8866887862.

The spelling of 763268000 in words is "seven hundred sixty-three million, two hundred sixty-eight thousand".