77948006400 has 936 divisors, whose sum is σ = 316101174480. Its totient is φ = 18815385600.

The previous prime is 77948006371. The next prime is 77948006419. The reversal of 77948006400 is 460084977.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 334540684 + ... + 334540916.

It is an arithmetic number, because the mean of its divisors is an integer number (337714930).

Almost surely, 2^77948006400 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 77948006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158050587240).

77948006400 is an abundant number, since it is smaller than the sum of its proper divisors (238153168080).

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

77948006400 is a wasteful number, since it uses less digits than its factorization.

77948006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 77948006400 in words is "seventy-seven billion, nine hundred forty-eight million, six thousand, four hundred".