77013509400 has 384 divisors, whose sum is σ = 286791168000. Its totient is φ = 18929272320.

The previous prime is 77013509387. The next prime is 77013509407. The reversal of 77013509400 is 490531077.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77013509407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3786057 + ... + 3806343.

It is an arithmetic number, because the mean of its divisors is an integer number (746852000).

Almost surely, 2^77013509400 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 77013509400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143395584000).

77013509400 is an abundant number, since it is smaller than the sum of its proper divisors (209777658600).

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

77013509400 is a wasteful number, since it uses less digits than its factorization.

77013509400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20368 (or 20353 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 77013509400 in words is "seventy-seven billion, thirteen million, five hundred nine thousand, four hundred".