766272165120 has 1152 divisors, whose sum is σ = 3424940789760. Its totient is φ = 157593600000.

The previous prime is 766272165119. The next prime is 766272165121. The reversal of 766272165120 is 21561272667.

766272165120 is a `hidden beast` number, since 7 + 6 + 62 + 72 + 1 + 6 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (766272165119) and next prime (766272165121).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×766272165120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766272165121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 268771695 + ... + 268774545.

It is an arithmetic number, because the mean of its divisors is an integer number (2973038880).

Almost surely, 2^766272165120 is an apocalyptic number.

766272165120 is a gapful number since it is divisible by the number (70) 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 766272165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712470394880).

766272165120 is an abundant number, since it is smaller than the sum of its proper divisors (2658668624640).

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

766272165120 is a wasteful number, since it uses less digits than its factorization.

766272165120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 766272165120 in words is "seven hundred sixty-six billion, two hundred seventy-two million, one hundred sixty-five thousand, one hundred twenty".