764424540 has 288 divisors, whose sum is σ = 2671119360. Its totient is φ = 181958400.

The previous prime is 764424539. The next prime is 764424559. The reversal of 764424540 is 45424467.

764424540 is a `hidden beast` number, since 7 + 644 + 2 + 4 + 5 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 764424495 and 764424504.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 4223250 + ... + 4223430.

It is an arithmetic number, because the mean of its divisors is an integer number (9274720).

Almost surely, 2^764424540 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 764424540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335559680).

764424540 is an abundant number, since it is smaller than the sum of its proper divisors (1906694820).

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

764424540 is a wasteful number, since it uses less digits than its factorization.

764424540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 764424540 is about 27648.2285146806. The cubic root of 764424540 is about 914.3480440440.

The spelling of 764424540 in words is "seven hundred sixty-four million, four hundred twenty-four thousand, five hundred forty".