77975374400 has 672 divisors, whose sum is σ = 251443906560. Its totient is φ = 23095296000.

The previous prime is 77975374381. The next prime is 77975374457. The reversal of 77975374400 is 447357977.

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, 217201421 + ... + 217201779.

It is an arithmetic number, because the mean of its divisors is an integer number (374172480).

Almost surely, 2^77975374400 is an apocalyptic number.

77975374400 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 77975374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125721953280).

77975374400 is an abundant number, since it is smaller than the sum of its proper divisors (173468532160).

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

77975374400 is a wasteful number, since it uses less digits than its factorization.

77975374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 5186160, while the sum is 53.

The spelling of 77975374400 in words is "seventy-seven billion, nine hundred seventy-five million, three hundred seventy-four thousand, four hundred".