77272704 has 160 divisors (see below), whose sum is σ = 238817700. Its totient is φ = 24772608.

The previous prime is 77272703. The next prime is 77272711. The reversal of 77272704 is 40727277.

It can be written as a sum of positive squares in 2 ways, for example, as 68558400 + 8714304 = 8280^2 + 2952^2 .

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

It is not an unprimeable number, because it can be changed into a prime (77272703) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 300544 + ... + 300800.

Almost surely, 2^77272704 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 77272704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119408850).

77272704 is an abundant number, since it is smaller than the sum of its proper divisors (161544996).

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

77272704 is a wasteful number, since it uses less digits than its factorization.

77272704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 38416, while the sum is 36.

The square root of 77272704 is about 8790.4894061707. The cubic root of 77272704 is about 425.9337329972.

The spelling of 77272704 in words is "seventy-seven million, two hundred seventy-two thousand, seven hundred four".