766158540 has 96 divisors (see below), whose sum is σ = 2536289280. Its totient is φ = 169080576.

The previous prime is 766158529. The next prime is 766158553. The reversal of 766158540 is 45851667.

It is a super-3 number, since 3×766158540³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 766158492 and 766158501.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19272 + ... + 43631.

It is an arithmetic number, because the mean of its divisors is an integer number (26419680).

Almost surely, 2^766158540 is an apocalyptic number.

766158540 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

766158540 is an abundant number, since it is smaller than the sum of its proper divisors (1770130740).

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

766158540 is a wasteful number, since it uses less digits than its factorization.

766158540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62951 (or 62949 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 766158540 is about 27679.5689995347. The cubic root of 766158540 is about 915.0388827575.

The spelling of 766158540 in words is "seven hundred sixty-six million, one hundred fifty-eight thousand, five hundred forty".