764321740 has 288 divisors, whose sum is σ = 2242114560. Its totient is φ = 212129280.

The previous prime is 764321737. The next prime is 764321743. The reversal of 764321740 is 47123467.

It is an interprime number because it is at equal distance from previous prime (764321737) and next prime (764321743).

It is a junction number, because it is equal to n+sod(n) for n = 764321696 and 764321705.

It is not an unprimeable number, because it can be changed into a prime (764321743) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24655525 + ... + 24655555.

It is an arithmetic number, because the mean of its divisors is an integer number (7785120).

Almost surely, 2^764321740 is an apocalyptic number.

764321740 is a gapful number since it is divisible by the number (70) 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 764321740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121057280).

764321740 is an abundant number, since it is smaller than the sum of its proper divisors (1477792820).

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

764321740 is a wasteful number, since it uses less digits than its factorization.

764321740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 764321740 is about 27646.3693818917. The cubic root of 764321740 is about 914.3070549567.

The spelling of 764321740 in words is "seven hundred sixty-four million, three hundred twenty-one thousand, seven hundred forty".