77225764 has 120 divisors (see below), whose sum is σ = 186344928. Its totient is φ = 27659520.

The previous prime is 77225761. The next prime is 77225767. The reversal of 77225764 is 46752277.

It is an interprime number because it is at equal distance from previous prime (77225761) and next prime (77225767).

Its product of digits (164640) is a multiple of the sum of its prime divisors (80).

It is not an unprimeable number, because it can be changed into a prime (77225761) 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 39 ways as a sum of consecutive naturals, for example, 1795927 + ... + 1795969.

Almost surely, 2^77225764 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 77225764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93172464).

77225764 is an abundant number, since it is smaller than the sum of its proper divisors (109119164).

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

77225764 is a wasteful number, since it uses less digits than its factorization.

77225764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 80 counting only the distinct ones).

The product of its digits is 164640, while the sum is 40.

The square root of 77225764 is about 8787.8190695986. The cubic root of 77225764 is about 425.8474697669.

The spelling of 77225764 in words is "seventy-seven million, two hundred twenty-five thousand, seven hundred sixty-four".