77609870400 has 168 divisors, whose sum is σ = 255961188864. Its totient is φ = 20587366400.

The previous prime is 77609870389. The next prime is 77609870407. The reversal of 77609870400 is 407890677.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 77609870400.

It is not an unprimeable number, because it can be changed into a prime (77609870407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 874474 + ... + 959126.

Almost surely, 2^77609870400 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 77609870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127980594432).

77609870400 is an abundant number, since it is smaller than the sum of its proper divisors (178351318464).

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

77609870400 is a wasteful number, since it uses less digits than its factorization.

77609870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84869 (or 84854 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The spelling of 77609870400 in words is "seventy-seven billion, six hundred nine million, eight hundred seventy thousand, four hundred".