762880032 has 288 divisors, whose sum is σ = 2476656000. Its totient is φ = 229920768.

The previous prime is 762879937. The next prime is 762880037. The reversal of 762880032 is 230088267.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (762880037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3833469 + ... + 3833667.

It is an arithmetic number, because the mean of its divisors is an integer number (8599500).

Almost surely, 2^762880032 is an apocalyptic number.

762880032 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 762880032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238328000).

762880032 is an abundant number, since it is smaller than the sum of its proper divisors (1713775968).

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

762880032 is a wasteful number, since it uses less digits than its factorization.

762880032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 762880032 is about 27620.2829818958. The cubic root of 762880032 is about 913.7318201242.

The spelling of 762880032 in words is "seven hundred sixty-two million, eight hundred eighty thousand, thirty-two".