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78790572960 = 25351125922993
BaseRepresentation
bin100100101100001001…
…0001011101110100000
321112101001100210222220
41021120102023232200
52242330341313320
6100110151231040
75456334551151
oct1113022135640
9245331323886
1078790572960
1130462251700
121332a978480
1375786bc808
143b562b3928
1520b221ee40
hex125848bba0

78790572960 has 288 divisors, whose sum is σ = 277440085440. Its totient is φ = 18776186880.

The previous prime is 78790572871. The next prime is 78790572989. The reversal of 78790572960 is 6927509787.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 78790572894 and 78790572903.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3415224 + ... + 3438216.

It is an arithmetic number, because the mean of its divisors is an integer number (963333630).

Almost surely, 278790572960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78790572960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138720042720).

78790572960 is an abundant number, since it is smaller than the sum of its proper divisors (198649512480).

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

78790572960 is a wasteful number, since it uses less digits than its factorization.

78790572960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23092 (or 23073 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 60.

The spelling of 78790572960 in words is "seventy-eight billion, seven hundred ninety million, five hundred seventy-two thousand, nine hundred sixty".