77474048400 has 480 divisors, whose sum is σ = 323672180480. Its totient is φ = 17229127680.

The previous prime is 77474048347. The next prime is 77474048459. The reversal of 77474048400 is 484047477.

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 95 ways as a sum of consecutive naturals, for example, 2783352 + ... + 2811048.

Almost surely, 2^77474048400 is an apocalyptic number.

77474048400 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 77474048400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161836090240).

77474048400 is an abundant number, since it is smaller than the sum of its proper divisors (246198132080).

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

77474048400 is a wasteful number, since it uses less digits than its factorization.

77474048400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27768 (or 27751 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 45.

The spelling of 77474048400 in words is "seventy-seven billion, four hundred seventy-four million, forty-eight thousand, four hundred".