766552416 has 96 divisors (see below), whose sum is σ = 2420732160. Its totient is φ = 207484416.

The previous prime is 766552411. The next prime is 766552417. The reversal of 766552416 is 614255667.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766552411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17251 + ... + 42786.

It is an arithmetic number, because the mean of its divisors is an integer number (25215960).

Almost surely, 2^766552416 is an apocalyptic number.

766552416 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

766552416 is an abundant number, since it is smaller than the sum of its proper divisors (1654179744).

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

766552416 is a wasteful number, since it uses less digits than its factorization.

766552416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60076 (or 60068 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 766552416 is about 27686.6830082623. The cubic root of 766552416 is about 915.1956606271.

The spelling of 766552416 in words is "seven hundred sixty-six million, five hundred fifty-two thousand, four hundred sixteen".