77400684 has 60 divisors (see below), whose sum is σ = 205821000. Its totient is φ = 25356672.

The previous prime is 77400683. The next prime is 77400691. The reversal of 77400684 is 48600477.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (77400683) 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, 17092 + ... + 21140.

It is an arithmetic number, because the mean of its divisors is an integer number (3430350).

Almost surely, 2^77400684 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 77400684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102910500).

77400684 is an abundant number, since it is smaller than the sum of its proper divisors (128420316).

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

77400684 is a wasteful number, since it uses less digits than its factorization.

77400684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4124 (or 4113 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 77400684 is about 8797.7658527606. The cubic root of 77400684 is about 426.1687488569.

The spelling of 77400684 in words is "seventy-seven million, four hundred thousand, six hundred eighty-four".