77400400 has 180 divisors, whose sum is σ = 236636640. Its totient is φ = 24057600.

The previous prime is 77400341. The next prime is 77400409. The reversal of 77400400 is 400477.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77400409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 215421 + ... + 215779.

It is an arithmetic number, because the mean of its divisors is an integer number (1314648).

Almost surely, 2^77400400 is an apocalyptic number.

77400400 is a gapful number since it is divisible by the number (70) 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 77400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118318320).

77400400 is an abundant number, since it is smaller than the sum of its proper divisors (159236240).

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

77400400 is a wasteful number, since it uses less digits than its factorization.

77400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 77400400 is about 8797.7497122844. The cubic root of 77400400 is about 426.1682276208.

Adding to 77400400 its reverse (400477), we get a palindrome (77800877).

The spelling of 77400400 in words is "seventy-seven million, four hundred thousand, four hundred".