77389970400 has 576 divisors, whose sum is σ = 297655948800. Its totient is φ = 19338485760.

The previous prime is 77389970389. The next prime is 77389970443. The reversal of 77389970400 is 407998377.

77389970400 is a `hidden beast` number, since 7 + 73 + 89 + 97 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153856549 + ... + 153857051.

It is an arithmetic number, because the mean of its divisors is an integer number (516763800).

Almost surely, 2^77389970400 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 77389970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148827974400).

77389970400 is an abundant number, since it is smaller than the sum of its proper divisors (220265978400).

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

77389970400 is a wasteful number, since it uses less digits than its factorization.

77389970400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 77389970400 in words is "seventy-seven billion, three hundred eighty-nine million, nine hundred seventy thousand, four hundred".