766540152 has 128 divisors (see below), whose sum is σ = 2473651200. Its totient is φ = 215395200.

The previous prime is 766540129. The next prime is 766540157. The reversal of 766540152 is 251045667.

It is a happy number.

766540152 is a `hidden beast` number, since 7 + 66 + 540 + 1 + 52 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766540157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88077 + ... + 96387.

It is an arithmetic number, because the mean of its divisors is an integer number (19325400).

Almost surely, 2^766540152 is an apocalyptic number.

766540152 is a gapful number since it is divisible by the number (72) 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 766540152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236825600).

766540152 is an abundant number, since it is smaller than the sum of its proper divisors (1707111048).

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

766540152 is a wasteful number, since it uses less digits than its factorization.

766540152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8394 (or 8384 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 766540152 is about 27686.4615290578. The cubic root of 766540152 is about 915.1907798913.

The spelling of 766540152 in words is "seven hundred sixty-six million, five hundred forty thousand, one hundred fifty-two".