772166384 has 160 divisors (see below), whose sum is σ = 1864166400. Its totient is φ = 306293760.

The previous prime is 772166309. The next prime is 772166413. The reversal of 772166384 is 483661277.

It is a super-3 number, since 3×772166384³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

Its product of digits (338688) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 16429049 + ... + 16429095.

It is an arithmetic number, because the mean of its divisors is an integer number (11651040).

Almost surely, 2^772166384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772166384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932083200).

772166384 is an abundant number, since it is smaller than the sum of its proper divisors (1092000016).

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

772166384 is a wasteful number, since it uses less digits than its factorization.

772166384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 96 counting only the distinct ones).

The product of its digits is 338688, while the sum is 44.

The square root of 772166384 is about 27787.8819631868. The cubic root of 772166384 is about 917.4244220005.

The spelling of 772166384 in words is "seven hundred seventy-two million, one hundred sixty-six thousand, three hundred eighty-four".