77070840 has 256 divisors, whose sum is σ = 304128000. Its totient is φ = 15137280.

The previous prime is 77070827. The next prime is 77070863. The reversal of 77070840 is 4807077.

It is a Cunningham number, because it is equal to 8779²-1.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175341 + ... + 175779.

It is an arithmetic number, because the mean of its divisors is an integer number (1188000).

Almost surely, 2^77070840 is an apocalyptic number.

77070840 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 77070840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152064000).

77070840 is an abundant number, since it is smaller than the sum of its proper divisors (227057160).

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

77070840 is a wasteful number, since it uses less digits than its factorization.

77070840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 33.

The square root of 77070840 is about 8778.9999430459. Note that the first 4 decimals coincide. The cubic root of 77070840 is about 425.5625123623.

The spelling of 77070840 in words is "seventy-seven million, seventy thousand, eight hundred forty".