77400000 has 252 divisors, whose sum is σ = 283747464. Its totient is φ = 20160000.

The previous prime is 77399999. The next prime is 77400017. The reversal of 77400000 is 477.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1799979 + ... + 1800021.

It is an arithmetic number, because the mean of its divisors is an integer number (1125982).

Almost surely, 2^77400000 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 77400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141873732).

77400000 is an abundant number, since it is smaller than the sum of its proper divisors (206347464).

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

77400000 is an equidigital number, since it uses as much as digits as its factorization.

77400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 77400000 is about 8797.7269791691. The cubic root of 77400000 is about 426.1674934834.

Adding to 77400000 its reverse (477), we get a palindrome (77400477).

The spelling of 77400000 in words is "seventy-seven million, four hundred thousand".