772976160 has 144 divisors (see below), whose sum is σ = 2877638400. Its totient is φ = 187384320.

The previous prime is 772976143. The next prime is 772976167. The reversal of 772976160 is 61679277.

772976160 is a `hidden beast` number, since 7 + 7 + 29 + 7 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (772976167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8560 + ... + 40239.

It is an arithmetic number, because the mean of its divisors is an integer number (19983600).

Almost surely, 2^772976160 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 772976160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438819200).

772976160 is an abundant number, since it is smaller than the sum of its proper divisors (2104662240).

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

772976160 is a wasteful number, since it uses less digits than its factorization.

772976160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48831 (or 48820 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 772976160 is about 27802.4488130093. The cubic root of 772976160 is about 917.7450129801.

The spelling of 772976160 in words is "seven hundred seventy-two million, nine hundred seventy-six thousand, one hundred sixty".