77943398400 has 756 divisors, whose sum is σ = 325152483552. Its totient is φ = 17794990080.

The previous prime is 77943398383. The next prime is 77943398417. The reversal of 77943398400 is 489334977.

It is an interprime number because it is at equal distance from previous prime (77943398383) and next prime (77943398417).

It is a super-2 number, since 2×77943398400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 90316369 + ... + 90317231.

Almost surely, 2^77943398400 is an apocalyptic number.

77943398400 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 77943398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162576241776).

77943398400 is an abundant number, since it is smaller than the sum of its proper divisors (247209085152).

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

77943398400 is a wasteful number, since it uses less digits than its factorization.

77943398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 77943398400 in words is "seventy-seven billion, nine hundred forty-three million, three hundred ninety-eight thousand, four hundred".