77786948400 has 480 divisors, whose sum is σ = 300840173568. Its totient is φ = 16803763200.

The previous prime is 77786948381. The next prime is 77786948413. The reversal of 77786948400 is 484968777.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 11193727 + ... + 11200673.

Almost surely, 2^77786948400 is an apocalyptic number.

77786948400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77786948400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150420086784).

77786948400 is an abundant number, since it is smaller than the sum of its proper divisors (223053225168).

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

77786948400 is a wasteful number, since it uses less digits than its factorization.

77786948400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7049 (or 7038 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 60.

The spelling of 77786948400 in words is "seventy-seven billion, seven hundred eighty-six million, nine hundred forty-eight thousand, four hundred".