77180340 has 72 divisors (see below), whose sum is σ = 229616352. Its totient is φ = 19366400.

The previous prime is 77180329. The next prime is 77180347. The reversal of 77180340 is 4308177.

77180340 = 366² + 367² + ... + 654².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 77180298 and 77180307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77180347) 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, 15115 + ... + 19565.

It is an arithmetic number, because the mean of its divisors is an integer number (3189116).

Almost surely, 2^77180340 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 77180340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114808176).

77180340 is an abundant number, since it is smaller than the sum of its proper divisors (152436012).

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

77180340 is a wasteful number, since it uses less digits than its factorization.

77180340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4497 (or 4478 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 77180340 is about 8785.2342029112. The cubic root of 77180340 is about 425.7639592546.

The spelling of 77180340 in words is "seventy-seven million, one hundred eighty thousand, three hundred forty".