77259840 has 112 divisors (see below), whose sum is σ = 280367232. Its totient is φ = 17657856.

The previous prime is 77259827. The next prime is 77259859. The reversal of 77259840 is 4895277.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 77259792 and 77259801.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 972 + ... + 12468.

Almost surely, 2^77259840 is an apocalyptic number.

77259840 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 77259840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140183616).

77259840 is an abundant number, since it is smaller than the sum of its proper divisors (203107392).

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

77259840 is a wasteful number, since it uses less digits than its factorization.

77259840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11524 (or 11514 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 77259840 is about 8789.7576758407. The cubic root of 77259840 is about 425.9100958639.

The spelling of 77259840 in words is "seventy-seven million, two hundred fifty-nine thousand, eight hundred forty".