83078765078400 has 5760 divisors, whose sum is σ = 406241783861760. Its totient is φ = 16538967244800.

The previous prime is 83078765078381. The next prime is 83078765078437. The reversal of 83078765078400 is 487056787038.

83078765078400 is a `hidden beast` number, since 8 + 3 + 0 + 7 + 87 + 6 + 507 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 497477635117 + ... + 497477635283.

It is an arithmetic number, because the mean of its divisors is an integer number (70528087476).

Almost surely, 2^{83078765078400} is an apocalyptic number.

83078765078400 is a gapful number since it is divisible by the number (80) 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 83078765078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203120891930880).

83078765078400 is an abundant number, since it is smaller than the sum of its proper divisors (323163018783360).

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

83078765078400 is a wasteful number, since it uses less digits than its factorization.

83078765078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 83078765078400 in words is "eighty-three trillion, seventy-eight billion, seven hundred sixty-five million, seventy-eight thousand, four hundred".