77340672 has 84 divisors (see below), whose sum is σ = 223627950. Its totient is φ = 25755648.

The previous prime is 77340671. The next prime is 77340689. The reversal of 77340672 is 27604377.

It can be written as a sum of positive squares in only one way, i.e., 50466816 + 26873856 = 7104^2 + 5184^2 .

It is a super-3 number, since 3×77340672³ (a number of 25 digits) contains 333 as substring.

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 (77340671) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73204 + ... + 74252.

Almost surely, 2^77340672 is an apocalyptic number.

77340672 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 77340672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111813975).

77340672 is an abundant number, since it is smaller than the sum of its proper divisors (146287278).

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

77340672 is a wasteful number, since it uses less digits than its factorization.

77340672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1054 counting only the distinct ones).

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

The square root of 77340672 is about 8794.3545527799. The cubic root of 77340672 is about 426.0585782040.

The spelling of 77340672 in words is "seventy-seven million, three hundred forty thousand, six hundred seventy-two".