77493750400 has 384 divisors, whose sum is σ = 220305899520. Its totient is φ = 26672640000.

The previous prime is 77493750377. The next prime is 77493750401. The reversal of 77493750400 is 405739477.

It is not an unprimeable number, because it can be changed into a prime (77493750401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51285645 + ... + 51287155.

It is an arithmetic number, because the mean of its divisors is an integer number (573713280).

Almost surely, 2^77493750400 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 77493750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110152949760).

77493750400 is an abundant number, since it is smaller than the sum of its proper divisors (142812149120).

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

77493750400 is a wasteful number, since it uses less digits than its factorization.

77493750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 46.

The spelling of 77493750400 in words is "seventy-seven billion, four hundred ninety-three million, seven hundred fifty thousand, four hundred".