766225152 has 324 divisors, whose sum is σ = 2808075816. Its totient is φ = 198696960.

The previous prime is 766225147. The next prime is 766225183. The reversal of 766225152 is 251522667.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1241548 + ... + 1242164.

Almost surely, 2^766225152 is an apocalyptic number.

766225152 is a gapful number since it is divisible by the number (72) 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 766225152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404037908).

766225152 is an abundant number, since it is smaller than the sum of its proper divisors (2041850664).

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

766225152 is a wasteful number, since it uses less digits than its factorization.

766225152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 640 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 766225152 is about 27680.7722435629. The cubic root of 766225152 is about 915.0654006823.

The spelling of 766225152 in words is "seven hundred sixty-six million, two hundred twenty-five thousand, one hundred fifty-two".