77240077400 has 96 divisors (see below), whose sum is σ = 185604787200. Its totient is φ = 29862518400.

The previous prime is 77240077381. The next prime is 77240077423. The reversal of 77240077400 is 477004277.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5318549 + ... + 5333051.

It is an arithmetic number, because the mean of its divisors is an integer number (1933383200).

Almost surely, 2^77240077400 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 77240077400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92802393600).

77240077400 is an abundant number, since it is smaller than the sum of its proper divisors (108364709800).

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

77240077400 is a wasteful number, since it uses less digits than its factorization.

77240077400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15409 (or 15400 counting only the distinct ones).

The product of its (nonzero) digits is 76832, while the sum is 38.

The spelling of 77240077400 in words is "seventy-seven billion, two hundred forty million, seventy-seven thousand, four hundred".