766305540 has 288 divisors, whose sum is σ = 3121687296. Its totient is φ = 146949120.

The previous prime is 766305509. The next prime is 766305577. The reversal of 766305540 is 45503667.

766305540 is a `hidden beast` number, since 76 + 6 + 30 + 554 + 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 = 766305495 and 766305504.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 178054 + ... + 182306.

It is an arithmetic number, because the mean of its divisors is an integer number (10839192).

Almost surely, 2^766305540 is an apocalyptic number.

766305540 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 766305540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560843648).

766305540 is an abundant number, since it is smaller than the sum of its proper divisors (2355381756).

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

766305540 is a wasteful number, since it uses less digits than its factorization.

766305540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4299 (or 4294 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 766305540 is about 27682.2242603444. The cubic root of 766305540 is about 915.0974007216.

The spelling of 766305540 in words is "seven hundred sixty-six million, three hundred five thousand, five hundred forty".