77322672 has 120 divisors (see below), whose sum is σ = 250698240. Its totient is φ = 21790080.

The previous prime is 77322667. The next prime is 77322673. The reversal of 77322672 is 27622377.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (77322673) 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, 79147 + ... + 80117.

It is an arithmetic number, because the mean of its divisors is an integer number (2089152).

Almost surely, 2^77322672 is an apocalyptic number.

77322672 is a gapful number since it is divisible by the number (72) 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 77322672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125349120).

77322672 is an abundant number, since it is smaller than the sum of its proper divisors (173375568).

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

77322672 is a wasteful number, since it uses less digits than its factorization.

77322672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1062 counting only the distinct ones).

The product of its digits is 49392, while the sum is 36.

The square root of 77322672 is about 8793.3311094261. The cubic root of 77322672 is about 426.0255225071.

It can be divided in two parts, 7732 and 2672, that added together give a square (10404 = 102²).

The spelling of 77322672 in words is "seventy-seven million, three hundred twenty-two thousand, six hundred seventy-two".