764886240 has 288 divisors, whose sum is σ = 2747437056. Its totient is φ = 200931840.

The previous prime is 764886217. The next prime is 764886277. The reversal of 764886240 is 42688467.

764886240 is a `hidden beast` number, since 76 + 488 + 62 + 40 = 666.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4004545 + ... + 4004735.

It is an arithmetic number, because the mean of its divisors is an integer number (9539712).

Almost surely, 2^764886240 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 764886240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373718528).

764886240 is an abundant number, since it is smaller than the sum of its proper divisors (1982550816).

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

764886240 is a wasteful number, since it uses less digits than its factorization.

764886240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 764886240 is about 27656.5767946794. The cubic root of 764886240 is about 914.5320907820.

It can be divided in two parts, 76488 and 6240, that added together give a palindrome (82728).

The spelling of 764886240 in words is "seven hundred sixty-four million, eight hundred eighty-six thousand, two hundred forty".