77253378048000 has 3840 divisors, whose sum is σ = 366989841504000. Its totient is φ = 16052649984000.

The previous prime is 77253378047983. The next prime is 77253378048023. The reversal of 77253378048000 is 84087335277.

It is a happy number.

It is a Jordan-Polya number, since it can be written as 12! ⋅ 8! ⋅ (2!)².

77253378048000 is a `hidden beast` number, since 7 + 7 + 2 + 53 + 37 + 80 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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 191 ways as a sum of consecutive naturals, for example, 7023034367995 + ... + 7023034368005.

It is an arithmetic number, because the mean of its divisors is an integer number (95570271225).

Almost surely, 2^{77253378048000} is an apocalyptic number.

77253378048000 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 77253378048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183494920752000).

77253378048000 is an abundant number, since it is smaller than the sum of its proper divisors (289736463456000).

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

77253378048000 is an frugal number, since it uses more digits than its factorization.

77253378048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 77253378048000 in words is "seventy-seven trillion, two hundred fifty-three billion, three hundred seventy-eight million, forty-eight thousand".