78769454400 has 840 divisors, whose sum is σ = 356406216320. Its totient is φ = 16617000960.

The previous prime is 78769454381. The next prime is 78769454431. The reversal of 78769454400 is 445496787.

78769454400 is a `hidden beast` number, since 7 + 8 + 7 + 6 + 94 + 544 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11790261 + ... + 11796939.

Almost surely, 2^78769454400 is an apocalyptic number.

78769454400 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 78769454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178203108160).

78769454400 is an abundant number, since it is smaller than the sum of its proper divisors (277636761920).

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

78769454400 is a wasteful number, since it uses less digits than its factorization.

78769454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6733 (or 6709 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 78769454400 in words is "seventy-eight billion, seven hundred sixty-nine million, four hundred fifty-four thousand, four hundred".