766160352 has 72 divisors (see below), whose sum is σ = 2306946096. Its totient is φ = 240362496.

The previous prime is 766160323. The next prime is 766160357. The reversal of 766160352 is 253061667.

766160352 is a `hidden beast` number, since 7 + 6 + 616 + 0 + 35 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 (766160357) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73348 + ... + 83139.

It is an arithmetic number, because the mean of its divisors is an integer number (32040918).

Almost surely, 2^766160352 is an apocalyptic number.

766160352 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

766160352 is an abundant number, since it is smaller than the sum of its proper divisors (1540785744).

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

766160352 is a wasteful number, since it uses less digits than its factorization.

766160352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156520 (or 156509 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 766160352 is about 27679.6017312388. The cubic root of 766160352 is about 915.0396041265.

It can be divided in two parts, 7661603 and 52, that added together give a triangular number (7661655 = T₃₉₁₄).

The spelling of 766160352 in words is "seven hundred sixty-six million, one hundred sixty thousand, three hundred fifty-two".