77400360 has 96 divisors (see below), whose sum is σ = 260900640. Its totient is φ = 20637504.

The previous prime is 77400341. The next prime is 77400409. The reversal of 77400360 is 6300477.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5739 + ... + 13701.

It is an arithmetic number, because the mean of its divisors is an integer number (2717715).

Almost surely, 2^77400360 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 77400360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130450320).

77400360 is an abundant number, since it is smaller than the sum of its proper divisors (183500280).

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

77400360 is a wasteful number, since it uses less digits than its factorization.

77400360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7989 (or 7973 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 77400360 is about 8797.7474389755. The cubic root of 77400360 is about 426.1681542072.

The spelling of 77400360 in words is "seventy-seven million, four hundred thousand, three hundred sixty".